The graphs below have the same shape. What is the equation of the red graph?
g(x)= ?
f(x) = x2
g(x) =
A g(x) = x - 2
B. (X) = (x - 2)2
O c. lx) = 8+2
D. g(x) = (x + 2)2
Answers
Answer:
C is the answer
Step-by-step explanation:
The equation of the red graph is [tex]x^{2} +2[/tex].
What is the equation of parabola whose vertex is (h, k)?The equation of the parabola whose vertex is (h, k) is
[tex]y = a(x-h)^{2} + k[/tex]
According to the given question.
We have a graph for the function f(x) and g(x).
[tex]f(x) =x^{2}[/tex]..(i)
⇒ the equation of parabola whose vertex is (0, 0)
Since, we know the standard form of the equation of parabola is
[tex]y = a(x-h)^{2} +k[/tex]
Substitute h = 0 and k = 0 in the above equation.
⇒ [tex]y = a(x-0)^{2} +0[/tex]
⇒ [tex]y = ax^{2}[/tex]..(ii) (where, y = f(x))
On comparing the first two equations we get a = 1.
From the graph we can see that g(x) is a equation of parabola, whose vertex is (0, 2).
Therefore, the equation for red graph is given by
[tex]g(x) =a(x-0)^{2} + 2[/tex]
[tex]g(x) = 1x^{2} +2[/tex] (because a = 1)
⇒ [tex]g(x) = x^{2} +2[/tex]
Hence, option c is correct.
Find out more information about equation of parabola here:
https://brainly.com/question/4074088
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Related Questions
multiply (x+4)(2x-3)
Answers
Answer:
2x^2 + 5x - 12
Step-by-step explanation:
(x+4)(2x-3)
2x^2 - 3x + 8x - 12
2x^2 + 5x - 12
Emelia earns $8.00 per hour plus a gas allowance of $3.50 per day at her job. How much does Emilia's job pay in a day when she works 5 hours? Write an expression and evaluation for 5 hours.
Answers
Answer: Required expression = 8h +3.50
Emilia's job pay $ 43.5 in a day when she works 5 hours.
Step-by-step explanation:
Given: Hourly earning = $8.00
gas allowance per day = $3.50
Pay per day = (Hourly earning ) x (Number of hours ) + (gas allowance per day)
Let h = number of hours
Pay per day = 8h +3.50
If Emily worked for 5 hours, then put h= 5, we get
Pay per day = 8(5) +3.50
= $ 40 +3.50
= $ 43.5
Required expression = 8h +3.50
Emilia's job pay $ 43.5 in a day when she works 5 hours.
Colton has 888 comedy movies, 666 action movies, 555 fantasy movies, and 111 drama movie on his list of favorite movies. For every 555 movies on the list, there are 222 \_\_\_\_____\_, \_, \_, \_ movies.
Answers
Answer: Comedy
Step-by-step explanation:
Find out the percentages of each of the movies. First find the total quantity.
= 888 + 666 + 555 + 111
= 2,220 movies
Comedy = 888/2,220 * 100% = 40%
Action = 666 / 2,220 * 100% = 30%
Fantasy = 555/2,220 * 100% = 25%
Drama = 111/ 2,220 * 100% = 5%
222 movies out of 555 is:
= 222 / 555 * 100%
= 40%
222 movies out of 555 movies will therefore be comedy.
Answer:
222/555 are comedy
the nth term of a sequence is given by 3n-16 what is the value of the 9th term
Answers
Answer:
11
Step-by-step explanation:
9 times 3 minus 16 gives you 11
Answer:
өзің жаз түсіңдіңба өшір бренлиді ok
Please help me my teacher doesn't know how to teach
Answers
Answer:
Whats the question
Step-by-step explanation:
Answer:
There are videos on Khan Academy about this one
I need help with this
If x + 3 /3 = y + 2/ 2 ,then x/ 3 =
Answers
Answer:
First solve for x
then substitute
Step-by-step explanation:
[tex]\frac{x+3}{3}= \frac{y+2}{2}[/tex]
[tex]6(\frac{x+3}{3}=\frac{y+2}{2})[/tex]
2x + 6 = 3y + 6
2x = 3y
[tex]x = \frac{3y}{2}[/tex]
If [tex]\frac{x+3}{3}= \frac{y+2}{2}[/tex] then [tex]\frac{x}{3}[/tex] =
[tex]x = \frac{3y}{2} /3 = \frac{y}3}[/tex]
Is 5 - 2x in standard form?
Answers
Answer:
yes
Step-by-step explanation:
Answer:
Yes of course
Step-by-step explanation:
because 2x is a variable and it can't be added further
please mark me as brainlist
PLS HELP ILL MARK BRAINLIEST!!!
Answers
Answer:
X is 20 :)
Step-by-step explanation:
this is what you would do
set (2+3x)= 62
3x=62-2
3x=60
60/3=x
x=20!
what is 10÷7
pls help
Answers
Answer:
1.42857142857
Step-by-step explanation:
Answer:
1.428571428 and some more I feel lazy adding more numbers
Solve for X.
2
5
25
75
Answers
Answer:
to be honest I don't knoe
PLZ HELP WITH THESE AND FAST!!!!!!!!!!!!
Answers
Answer:
(11+4)/3*square root of 64=40
Step-by-step explanation:
11+4=15
15/3=5
the square root of 64 is 8
5*8=40.
-4+2(5k-6)=-3k-39
need it with the steps
Answers
1. Distributive property 2(5k-6) = 10k -12
2. Add 10k-12-4= - 3K -39 which is 10k-16= - 3K -39
3. Add to both sides 10k -16 +16 = 10k, -3k-39 + 16 = -3k-24, 10k = -3k-24
4. Add to both sides with variable
10k + 3k = 13k, -3k-24+3k = -24
5. Divide 13k/13 = -24/13
6. The answer k≈ −1.846153846153846
76% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below.
Answers
Answer:
[tex]E(x) = 4.56[/tex] --- Mean
[tex]s^2 = 1.0944[/tex] --- Variance
[tex]s = 1.0461[/tex] --- Standard Deviation
Step-by-step explanation:
See Comment for missing details
Given
[tex]p = 0.76[/tex] --- proportion
[tex]n = 6[/tex] -- sample
Solving (a): The mean; E(x)
This is calculated as:
[tex]E(x) = n * p[/tex]
Substitute values for n and p
[tex]E(x) = 6 * 0.76[/tex]
[tex]E(x) = 4.56[/tex]
Solving (b): The variance; s^2
This is calculated as:
[tex]s^2 = n*p*(1-p)[/tex]
Substitute values for n and p
[tex]s^2 = 6 * 0.76 * (1-0.76)[/tex]
[tex]s^2 = 6 * 0.76 * 0.24[/tex]
[tex]s^2 = 1.0944[/tex]
Solving (c): The standard deviation; s
This is calculated as:
[tex]s = \sqrt{s^2[/tex]
Substitute value for s^2
[tex]s = \sqrt{1.0944[/tex]
[tex]s = 1.0461[/tex]
When unknown terms been added, what can we do to isolate them?
Answers
Answer:
Bring like terms together Bring like terms together. All equations have two sides.
Solve the folowing problem. Then state if there is one solution, no solutions, or infinite solutions.
n+3+4n=2n+15
Answers
Find x (I have a picture of the problem)
Answers
Answer:
well, am confidnet that it is 4
Step-by-step explanation:
Find the value of y for the given value of x.
y=2x−3;x=−4
y=
Answers
Step-by-step explanation:
Given
y = 2x - 3
if x = - 4 Then
y = 2 * ( -4) - 3
= -8 - 3
= - 11
Hope it will help :)
The value of y when the value of x is equal to the negative number 4 is negative 11 (-11).
What is an unknown variable?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
The expression for the variable x and y are given as,
[tex]y=2x-3[/tex]
The x value for the above expression is given as,
[tex]x=-4[/tex]
The value of y for the above value of x has to be found out. Put the value of x in the given expression to find the value of variable y as,
[tex]y=2(-4)-3[/tex]
Solve it further as,
[tex]y=2(-4)-3\\y=-8-3\\y=-11[/tex]
Hence, the value of y when the value of x is equal to the negative number 4 is negative 11 (-11).
Learn more about the unknown variable here;
https://brainly.com/question/1235185
Calculate the area of this triangle.
17 cm
8 cm
15 cm-
Area - Triangles
Overview
Answers
Answer:
There are 3 possible answers because you didn't state which value was base or height.
Going off the assumption that the base is 15 cm and the height is 8 cm, the area is 60 cm. (same answer if base is 8 cm and height is 15 cm)
A = 1/2(b*h)
A = 1/2(15*8)
A = 1/2(120)
A = 60
Going off the assumption that the base is 17 cm and the height is 8 cm, the area is 68 cm. (same answer if base is 8 cm and height is 17 cm)
A = 1/2(b*h)
A = 1/2(17*8)
A = 1/2(136)
A = 68
Going off the assumption that the base is 15 cm and the height is 17 cm, the area is 127.5 cm. (same answer if base is 17 cm and the height is 15 cm)
A = 1/2(b*h)
A = 1/2(15*17)
A = 1/2(255)
A = 127.5
HELP ME PLZ WITH THIS I WILL GIVE BRAILYIST THINGY PLZZZZZ HURRY.
Answers
2 and 2/5 are to be written as 12/5. Then Helena is correct.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
George drew the diagram given below to represent 2 and 2/5.
Helena says this is the same as 12/5.
2 and 2/5 can be written as 12/5.
Then Helena is correct.
More about the fraction number link is given below.
https://brainly.com/question/78672
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Miles is throwing three darts at the board shown below. His score is the sum of all three darts. How many different possible total scores could Miles get with three darts?
A. 450
B. 46
C. 12
D. 10
Answers
Hehehdhdbdbbxbxbxbxbxbbx
i will give brainlest if you get it correct
Answers
Answer:i think d.please dont blame me im not sure.sorry
Step-by-step explanation:
Answer:
The amount of time walking home from school and the distance left to arrive home.
Step-by-step explanation:
What is the missing reasons in the proof?
Answers
answer:
substituion property or transitive property
step-by-step explanation:
we already knew that <ABC was 90 degrees, therefore all we had to do was substitute, therefore transitive propertyWrite an equivalent ratio described in the situation below. The ratio of boys to girls is 5/2
Answers
please help and please explain ill mark brainless, thank you:)
Answers
Answer:
Its A...
Step-by-step explanation:
11/25 = 11 ÷ 25
11 ÷ 25 = 0.44
A: 0.44
The church’s goal for the fundraiser was $18,000. They exceeded their goal by 8%. How much money did they raise?
Answers
Answer:
19440
Step-by-step explanation:
18000 x 0.08 = 1440
1440 + 18000 = 19440
A line that includes the point (9,-5) has a slope of 0. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
The answer is
[tex]y = - 5[/tex]
Step-by-step explanation:
[tex]m = 0 \\ y = mx + c \\ y = c \\ y = - 5[/tex]
There are 2 painters painting a room with 4 walls. Each painter paints an equal part of the room. How much of the room does each painter paint?
Answers
Answer:
um 2 walls
Step-by-step explanation:
it would be 4/2 which = 2
Answer:
2
Step-by-step explanation:
find the value of f
Answers
Step-by-step explanation:
the steps are done in the picture .
hope it helps
Write these numbers in size order start with the smallest
7/9
8/11
0.79
84%
4/5
Answers
7/9 = 0.777
8/11 = 0.727
0.79 = 0.79
84% = 0.84
4/5 = 0.8
Now line them back up in order from least to greatest based on the decimal value.
Final answer:
8/11, 7/9, 0.79, 4/5, 84%
PLEASE HELP ME WITH MARK AS BRAINLIEST
Answers
Answer: 12
Step-by-step explanation:
I don’t know if I’m right but I’m Sure it’s 12