how do i find parabola from a figure ( process )
Answers
Step-by-step explanation:
The graph of a quadratic equation in two variables (y = ax^2 + bx + c ) is called a parabola. The following graphs are two typical parabolas their x-intercepts are marked by red dots, their y-intercepts are marked by a pink dot, and the vertex of each parabola is marked by a green dot: (Given in attachment for diagram)
We say that the first parabola opens upwards (is a U shape) and the second parabola opens downwards (is an upside down U shape). In order to graph a parabola we need to find its intercepts, vertex, and which way it opens.
Given y = ax^2 + bx + c , we have to go through the following steps to find the points and shape of any parabola:
Label a, b, and c.
Decide the direction of the paraola:
If a > 0 (positive) then the parabola opens upward.
If a < 0 (negative) then the parabola opens downward.
Find the x-intercepts:
Notice that the x-intercepts of any graph are points on the x-axis and therefore have y-coordinate 0. We can find these points by plugging 0 in for y and solving the resulting quadratic equation (0 = ax^2 + bx + c). If the equation factors we can find the points easily, but we may have to use the quadratic formula in some cases. If the solutions are imaginary, that means that the parabola has no x-intercepts (is strictly above or below the x-axis and never crosses it). If the solutions are real, but irrational (radicals) then we need to approximate their values and plot them.
Find the y-intercept:
The y-intercept of any graph is a point on the y-axis and therefore has x-coordinate 0. We can use this fact to find the y-intercepts by simply plugging 0 for x in the original equation and simplifying. Notice that if we plug in 0 for x we get: y = a(0)2 + b(0) + c or y = c. So the y-intercept of any parabola is always at (0,c).
Find the vertex (h,k):
To find the x-coordinate for the vertex we use the following formula:
To find the y-coordinate for the vertex we plug in h in the original equation:
k = a(h)2 + b(h) + c
Plot the points and graph the parabola
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Related Questions
Help me please this is very hard i got 8ft but it said I was wrong!?
Answers
Answer:
is the answer 200/3 Or 66.667 ft
What is the value of the expression below when x =6 and y =2? Xy-y^3
Answers
4
step-by-step explanation:
x = 6
y = 2
xy - y^3
substituting
6(2) - 2^3
12 - 8
4
someone please help, will reward brainliest!!
Answers
Answer:
Step-by-step explanation:
-7m-8=m-4
Is the relation a function? Why or why not?
Answers
A Carpenter was told to make
a rectangular desk with top
dimension of 50cm by40cm.
The Carperter altually made
the desk 60cm by 35cm.
Callulate the percentage
error in (a) the length and
b) the breath (1) the product
of the two enors (2) area of
the table top.
Answers
Answer:
a. Percent error = 12.5%
b. Percent error = 20%
c. Product = 250
d. Area of rectangle = 200 cm²
Step-by-step explanation:
Given the following data;
Actual length = 40cm
Experimental length = 35cm
Actual breadth = 50cm
Experimental breadth = 60cm
To find the following values;
a. Percentage error in length;
Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.
Mathematically, it is given by this expression;
[tex] Percent \; error = \frac {experimental \;value - actual \; value}{ actual \;value} *100[/tex]
Substituting into the formula, we have;
[tex] Percent \; error = \frac {35 - 40}{40} *100[/tex]
[tex] Percent \; error = \frac {5}{40} *100[/tex]
[tex] Percent \; error = 0.125 *100[/tex]
Percent error = 12.5%
b. Percentage error in breadth;
[tex] Percent \; error = \frac {60 - 50}{50} *100[/tex]
[tex] Percent \; error = \frac {10}{50} *100[/tex]
[tex] Percent \; error = 0.2 *100[/tex]
Percent error = 20%
c. Product of the error;
Product = 12.5 * 20
Product = 250
d. Area of the table top;
Dimensions = 50 * 40 cm
Area of rectangle = length * breadth
Area of rectangle = 40 * 50
Area of rectangle = 200 cm²
In parallelogram LMNO, the measure of N= 98° and the measure of 0= 82°. Find the measure of M.
Answers
Answer:
82
Step-by-step explanation:
180 - 98=82
The sum of two angels is 180
What is the area help fast
Answers
Answer:
142.5 cm2
Step-by-step explanation:
The small markings create a new height, so that would be 9.5 cm.
Multiply:
9.5x15=142.5
Therefore, the area is 142.5 cm2
Out of 195 students, 9% have
hazel eyes. How can you estimate the number of
students with hazel eyes?
Answers
Answer:
round it to 18 since 9% of 195 is 17.55
Step-by-step explanation:
Azul spun a tri-color spinner twice. What is the probability that the spinner landed on the colors blue and green in any order? BB, BG, BY, GB, GG, GY, YB, YG, YY 2 ON 3 Acvate Win Gettings to
Answers
Answer:
The Probability that the spinner landed on the colors blue and green in any order = 2/9
Step-by-step explanation:
Given - Azul spun a tri-color spinner twice.
To find - What is the probability that the spinner landed on the colors blue and green in any order?
Solution -
Given that,
A tri-color spinner spun twice
So,
The Sample Space, S = {BB, BG, BY, GB, GG, GY, YB, YG, YY}
⇒n(S) = 9
Now,
Let A be an event that the spinner landed on the colors blue and green
So,
A = {BG, GB}
⇒n(A) = 2
Now,
Probability that the spinner landed on the colors blue and green in any order = n(A) ÷ n(S)
= 2 ÷ 9
∴ we get
The Probability that the spinner landed on the colors blue and green in any order = 2/9
Solve for z 7-√3z+2=4 What is the root? If there is no root, choose none. z = 7/3 z = 11/3 none
Answers
Answer:
Desmos is Function Calculator is a great tool for this, the correct answer is z= 7/3
7/3= 2.333~ and so √(3*2.333~) + 2= 2.9999999833333~
Now 7- 2.9999999833333~= 4.0000000166667~ but I don't know the true infinate sign for this so thats why my numbers look a little weird, just plug (7/3) in for z and you will get 4, trust me
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZz
*Brainliest!* What are the AREA and Perimeter of this collection of tiles?
Answers
Answer:
15 I think
Step-by-step explanation:
Corny the jet pilot heads his jet due cast. The jet has a speed of 440 mph relative to the
air. The wind is blowing due north with a speed of 35 mph.
(a) Express the velocity of the wind as a vector in component form.
(b) Express the velocity of the jet relative to the air as a vector in component form.
(c) Find the true velocity of the jet as a vector,
(d) Find the true speed and direction of the jet.
Answers
Use rational exponents to represent 65,535
Answers
Handshake
Choose the item that has measurable volume.
a dollar bill
a page from a magazine
a quiz paper
a jug of milk
Answers
Answer:
A jug of milk
Step-by-step explanation:
please help me out please
Answers
Answer:
DCB = 44 degree
Step-by-step explanation:
DAB (given = 100
(180-100 ) / 2 = 40
ADB = ABD = 40 degree (each)
ADC (given = 108
BDC = DBA = 108-40 = 68 degree;
(subtracting angle inscribed within another triangle)
Triangle DBC = 180- 68+68 = 180 - 136 = 44 degree
Find DCB We have found BDC and DBA by deducting ADB from ADC
to get BDC
Then we deduct BDC from ADC to get DCB
Nancy's Cupcakes recorded how many cupcakes it recently sold of each flavor.
chocolate cupcakes 2
pistachio cupcakes 1
banana cupcakes 5
pumpkin cupcakes 6
Considering this data, how many of the next 21 cupcakes sold would you expect to be pumpkin cupcakes?
Answers
Answer:
pumpkin because it got the most sold
Answer:
9
Step-by-step explanation:
Knowing that
pumpkin = 6
Total =
chocolate cupcakes 2 + pistachio cupcakes 1 + banana cupcakes 5 +pumpkin cupcakes 6
Thus, 2 + 1 + 5 + 6 = 14
Cross multiply
[tex]\frac{6}{14}=\frac{x}{21}[/tex]
6 * 21 = 126
126/14 = 9
Hence, next 21 cupcakes sold that will be pumpkin cupcakes will 9 pumpkin cupcake
[RevyBreeze]
Explain what is meant when it is said that "data vary". How does the variability affect the results of statistical analysis? Choose the correct answer below. A. Saying "data vary" means that examining different types of subjects will yield different data, such as examining a person and examining a car. Because data vary, it is impossible to compare different types of subjects, such as comparing people and cars. B. Saying "data vary" means that the values of the variable change every time they are observed. Because data vary, each statistical analysis of a given variable will lead to different results. C. Saying "data vary" means that the values of the variable change from individual to individual. In addition, certain variables can change over time for certain individuals. Because data vary, two different statistical analysis of the same variable can lead to different results. D. Saying "data vary" means that observations can be measured with fractions or decimals instead of only integers. Because data vary, it is important to make sure to accurately account for fractional observations.
Answers
Answer:
C. Saying "data vary" means that the values of the variable change from individual to individual. In addition, certain variables can change over time for certain individuals. Because data vary, two different statistical analysis of the same variable can lead to different results.
Step-by-step explanation:
Variation in data may be explained as the non-uniformity in the values assigned to each individual variable in the data table. As a result of the non-uniformity or differences which exists in the values assigned to individual variables or changes due over time. This will usually lead to differences in the statistical result obtained when data undergoes analysis.
Angle Relationship
Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.
The sine of the complimentary angle of 34°
a. -0.52
b. 0.83
c. 0.97
d. -0.66
Please select the best answer from the choices provided
Answers
Answer:
B. 0.83
Step-by-step explanation:
I calculated it logically
What does the term 9b represent
A,B,C,D
Answers
Answer:
(B) The cost to rent a bike
Answer: the cost to rent a bike
Step-by-step explanation:
-7, -3, 1, 5 what is the explicit formula
Answers
Answer:
f(x)=4x-11
Step-by-step explanation:
This is a linear sequence, so we have to find our common difference, or slope, by finding the difference between any term and its previous term. We should do this a couple of times to make sure it's consistent. In this case, our slope is 4 and our first term is -7. We can do our equation in slope intercept (y=mx+b) form. However, to do this, we have to find the '0'th' term, or the term where x=0, a.k.a. the y-intercept. Our 1st term where x-1 is -7, and since our common difference is 4, we subtract 4 from negative 7 to get a y-intercept of -11. Our equation is now y=4x-11. To make this an explicit formula, we convert into f(x) form to get a formula of f(x)=4x-11.
A bag contains 14 blue, 30 red, and 6 green marbles. Paola draws a marbles from the bag, records its color, and puts the marble back into the bag. Then she repeats the process.
Based on the results, which is the best prediction of how many times Paola will draw a blue or a red marble in 5,000 trials?
Answers
Answer:
4,000
Step-by-step explanation:
Maggie bought c CDs for $12 each, b books for $7 each, and a purse costing $24.
a. Write an expression to show the total amount of money Maggie spent.
b. If Maggie bought 4 CDs and 3 books, how much money did she spend?
Answers
Step-by-step explanation:
Given that,
Maggie bought c CDs for $12 each, b books for $7 each, and a purse costing $24.
(a) Cost of c CDs = 12c
Cost of b books = 7b
Cost of p purse = 24p
Total amount = 12c+7b+24p
(b) Cost of 4 CDs = 12(4) = $48
Cost of 3 books = 7(3) = $21
Hence, this is the required solution.
Write the number in scientific notation. 0.00000625
Answers
Please, someone correct me if im wrong. J trust in my answer tho, dont worry.
If im correct, mark be branliest tysm!
Have a nice day
The number 0.00000625 in scientific notation is [tex]6.25\times 10^{-6}[/tex].
To write the number 0.00000625 in scientific notation, we can follow these steps:
First Move the decimal point to create a number between 1 and 10.
In this case, we can move the decimal point 6 places to the right to obtain 6.25.
Count the number of places moved to determine the exponent.
Since we moved the decimal point 6 places to the right, the exponent will be -6.
Write the number in scientific notation.
0.00000625 can be written as [tex]6.25\times 10^{-6}[/tex].
Therefore, the number 0.00000625 in scientific notation is [tex]6.25\times 10^{-6}[/tex].
Learn more about scientific notation at ;
https://brainly.com/question/29065322
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The following data describes weekly gross revenue (), television advertising expenditures (), and newspaper advertising expenditures () for Showtime Movie Theaters.
Weekly Gross Revenue ($1000s) Televison Advertising ($1000s) Newspaper Advertising ($1000s)
98 5 1.5
90 2 2
95 4 1.5
92 2.5 2.5
95 3 3.3
94 3.5 2.3
94 2.5 4.2
94 3 2.5
Required:
Find an estimated regression equation relating weekdy gross revenue to television advertising expenditures and newspaper advertising expenditures (to 2 decimals).
Answers
Answer:
Hope this helps
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZ
Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and plans to construct a 95% confidence interval for the mean, using an SRS of 16 bags. Suppose he is not sure if the distribution of net weights is Normal. In which of the following circumstances would he not be safe to use a t procedure?
A. A boxplot of the data has multiple large outliers.
B. The mean and median of the data are nearly equal.
C. The sample standard deviation is large.
D. A boxplot of the data shows a very slight skew.
Answers
Answer:
A. A boxplot of the data has multiple large outliers.
D. A boxplot of the data shows a very slight skew.
Step-by-step explanation:
A) The normal distribution does not have outliers. The outliers are any point outside the 3σ interval which 99.7% of the data. The 0.3% data would not be outliers.
B) YEs the mean and median of the normal distribution are nearly equal. AS it is asymmetrical.
C) When the sample standard deviation is large the data is spread about the mean. The normal distribution is flatter and wider
D) The normal distribution is never skewed.If one end is longer then the distribution is not assymmetric and the normal distribution asymmetric meaning half is the mirror reflection of the other half.
So A and D indicate circumstances where he not be safe to use a t procedure.
Hiiii!!! help! I'll mark brainliest
Answers
Answer: C/ The third one
Step-by-step explanation:
ANSWER ASAP! WILL MARK BRAINLIEST!
Select all the correct answers.
Which two tables represent the same function?
х|у
4|8
6|7
х|у
4|5
6|4
х|у
2|8
8|5
x|y
2|10
6|14
x|y
2|9
8|6
Answers
Answer:
The first and last set
y = (-1/2) + 10
Step-by-step explanation:
Two points form a line
The first and last set have a slope of -1/2
and b intercept of 10
х|у
4|8
6|7
y = (-1/2) + 10
and
x|y
2|9
8|6
y = (-1/2) + 10
The requried, tables that represent the same function are tables 1 and 3.
What is function?In mathematics, a function is a relationship between two sets of numbers, known as the domain and range, in which each element in the domain is associated with exactly one element in the range.
Here,
The tables that represent the same function are:
x|y
4|8
6|7
x|y
2|8
8|5
For two tables to represent the same function, they must have the same output for the same input. In the first table, input 4 gives output 8 and input 6 gives output 7. In the second table, input 2 gives output 8 and input 8 gives output 5. Therefore, these two tables represent the same function.
The other tables do not represent the same function, as they have different outputs for the same input values.
Learn more about function here:
brainly.com/question/21145944
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A square playground has an area of 10,000 ft? What is the side length of the
playground? Show your work.
SOLUTION
Answers
the side length is 100 ft
100^2 = 10,000
100 pts and brainiest for the right answer
A skateboard halfpipe is being designed for a competition. The halfpipe will be in the shape of a parabola and will be positioned above the ground such that its focus is 20 ft above the ground. Using the ground as the x-axis, where should the base of the halfpipe be positioned? Which equation best describes the equation of the halfpipe?
(0, 20); y equals one over eighty times x squared plus 20
(0, 20); y equals one over eighty times x squared minus 20
(0, 10); y equals one over forty times x squared plus 10
(0, 10); y equals one over forty times x squared minus 10
Answers
Answer:
Option A , (0, 20); y equals one over eighty times x squared plus 20
Step-by-step explanation:
The equation of parabola is given by
(X-h)^2 = 4p(Y-k)^2
In this case h = 0
So we get
Y = X^2/4P +k
Focus point is (h, p+k) , p+k = 40
Hence h, k = (0,20)
P = 40-k = 20
Equation Y = X^2/80 +20
Hence, option A is correct
plz mark brainliest
Answer: A
Step-by-step explanation:
Which expression is equivalent to 3/5?
A
3 × 5
B
3 + 5
C
3 ÷ 5
D
3 − 5