Answer:
The line (or "axis") of symmetry is the y-axis, also known as the line x = 0. This line is marked green in the picture. The graph is said to be "symmetric about the y-axis", and this line of symmetry is also called the "axis of symmetry" for the parabola.
The equation of the function g(x), after the translation, is given as follows: g(x) = (x + 2)² + 4.
What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).
Right a units: f(x - a).
Up a units: f(x) + a.
Down a units: f(x) - a.
The parent function for this problem is given as follows:
f(x) = x².
For this problem, the parent function was moved:
2 units left, hence g(x) = f(x + 2).
4 units up, hence g(x) = f(x + 2) + 4.
Hence the function g(x) is defined as follows:
g(x) = (x + 2)² + 4.
More can be learned about translation at brainly.com/question/29209050
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complete question:
G(x)
15
-10
5
The quadratic function. f(x) = x², is the solid orange line. What is the equation
of g(x), the green dashed line?
find the value of given expression
[tex] \sqrt{200 \div 2} [/tex]
Answer:
10 Ans.......
Step-by-step explanation:
Given:
=√200÷ 2
Solution:
= √200÷2
= √100
= 10 Answer......
I need help what is 19-4.25
The answer is 14.15 :)
YOOOOOOOO A MILLION POINTS FOR EVA DOES THIS :POG:
Answer:
∆WUV⁓∆SRT
Step-by-step explanation:
if the sum of the interior angles of a polygon is 2340, how many sides does the polygon have?
Answer:
15
Step-by-step explanation:
Where n represent no.of sides
(2n-4)90=2340
180n-360=2340
180n=2340+360
180n=2700
n=15
The Smiths want to fence their square garden, which has an area of 289 square feet. What would be the minimum amount of fencing needed to complete the project? A) 68 feet of fencing B) 17 square feet of fencing C) 289 feet of fencing D) 17 feet of fencing
Answer:
68 feets of fencing
Step-by-step explanation:
Given that:
Area of square garden = 289 ft²
The side length of square garden can be obtained thus :
Area of a square = s²
Where s = side length
s² = 289
s = sqrt(289)
s = 17
Perimeter of square garden : 4s
Perimeter = 4* 17 = 68 feets
Which ordered pair is a solution of y = x - 4?
A: (3,-7)
B: (-3,-7)
C: (3,7)
D: (-3,7)
Answer:
The correct answer is (-3,-7). This is because you can plug it in and the two sides are equal to each other. When you plug -3 in for x, you subtract for from it and get -7 since the y term is -7 the answer is -7=-7, thus (-3, -7) is the answer.
Step-by-step explanation:
Hope this helps :)
Hansen won the raffle At the zoo and gets to feed the dolphins! The dolphin trainer gives Hansen a bucket of fish to divide evenly among five dolphins. Each dolphin gets four fish. Which equation can you use to find the number of fish F in the bucket before hansen feeds them
Answer:
Number of dolphins in zoo * number of fish per dolphin.
Step-by-step explanation:
Hansen won the raffle At the zoo and gets to feed the dolphins! The dolphin trainer gives Hansen a bucket of fish to divide evenly among five dolphins. Each dolphin gets four fish. Which equation can you use to find the number of fish F in the bucket before hansen feeds them
Given that:
Number of dolphins = 5
Fish in bucket is distributed equally ; hence, Number of fish per dolphin = 4
To obtain the initial number of fish in bucket before hansen began to feed the fishes :
Number of fish in bucket before hansen feeds then :
Number of dolphins in zoo * number of fish per dolphin.
5 * 4 = 20
A hose fills a 10,000-gallon swimming pool at a rate of 10 gallons per minute. what is the domain and range?
Answer:
Domain: 0 minutes to time it takes to fill. Range: 0 to a 10,000 gallons
Step-by-step explanation:
The domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.
It is given that a hose fills 10000 gallon swimming pool at rate of 10 gallons per minute.
We have to find the domain and range.
What do you mean by domain and range ?
The domain is the set of all values for which the function is defined and the range of the function is the set of all values that function takes.
As per the question ;
Capacity of swimming pool = 10000 gallons
Rate of filling = 10 gallons per minute
So ;
Time taken in filling the swimming pool will be ;
= 10000 / 10
= 1000 minutes
So ;
The domain will be from 0 to 1000 minutes i.e., time taken to fill the swimming pool.
Whereas ;
The range will be from 0 to 10000 gallons i.e., amount of swimming pool filled.
Thus , the domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.
To learn more about domain and ranges click here ;
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Choose one polynomial from each column below that will result in the given product. Select one option from each drop down. 24x^3y^2+16xy^3+12y^3 Column 1 a.) 4xy b.) 4x^2y c.) 4y^2 Column 2 d.) 6x+4y+3 e.) 6x^3+4xy+3y f.) 6x^2y+4x+3y^2
Answer:
[tex]Column\ 1: 4y^2[/tex]
[tex]Column\ 2: 6x^3+4xy+3y[/tex]
Step-by-step explanation:
Given
[tex]24x^3y^2+16xy^3+12y^3[/tex]
Required
Determine the product from the given column
[tex]24x^3y^2+16xy^3+12y^3[/tex]
Factor our [tex]y^2[/tex]
[tex]24x^3y^2+16xy^3+12y^3 = y^2(24x^3 + 16xy + 12y)[/tex]
Factor out 4
[tex]24x^3y^2+16xy^3+12y^3 = 4y^2(6x^3 + 4xy + 3y)[/tex]
So: the factors are:
[tex]4y^2[/tex] and [tex]6x^3 + 4xy + 3y[/tex]
This gives:
[tex]Column\ 1: 4y^2[/tex]
[tex]Column\ 2: 6x^3+4xy+3y[/tex]
help please!!! WILL GIVE BRAINLIEST!!!!!!!!!!
Answer:
640
Step-by-step explanation:
8^2 = 64
10*64 = 640
Answer:
640
Step-by-step explanation:
b = 8
10b^2 = (10)(8^2) = (10)(64) = 640
Write an equation of the line in slope-intercept form.
Answer: y = -0.5x + 1
if a whole pizza has 2400 calories how many calories would you eat if you ate 5/6 of the pizza?
Answer:
2000 calories
Step-by-step explanation:
2400 / 6 = 400 calories per 1/6 of pizza
400 * 5 = 2000
Hester sells televisions. She earns a fixed amount for each television and an additional $15 if the buyer gets an extended warranty. If Hester sells 15 televisions with extended warranties, she earns $1,275. How much is the fixed amount Hester earns for each television?
Answer: [tex]\$ 70[/tex]
Step-by-step explanation:
Given
Hester get a fixed amount and an additional $15 for an extended warranty
Suppose x is the amount of fixed amount
for 15 television sale, the price is $1275
Thus, we can write
[tex]\Rightarrow 15(x+15)=1275\\\Rightarrow x+15=85\\\Rightarrow x=\$70[/tex]
Therefore, the fixed amount of television is [tex]\$70[/tex]
I need help finding the period of this sine graph
Answer:
10
Step-by-step explanation:
from -5 to 5 is a complete period. So the period is 10.
The diameter of a circle is 12 meters. Complete the description for how you would find the circumference.
Answer:
C≈37.7m
Step-by-step explanation:
C=πd=π·12≈37.69911m
Help please thank you ASAP
I don't know what to do
Answer:
Step-by-step explanation:
Answer:
a. 1.59cm
b. 1.99cm²
mark me as brainliest
Is the graph a linear function, no name and function, or relation (non-functioning)?
Answer:
no name and function
Step-by-step explanation:
If a train goes 20 km east then it turns and travels 43 km north then it goes 20 km west then travels south in an unknown number of kilometers and at the end there back in the original location how far did the train travel south
Answer:
Answer is 43 km.
Step-by-step explanation:
Let's draw diagram to solve the problem.
A loan requires that the 4% interest be compounded monthly for five years find the number of compounding periods
Answer:
60 compounding periods
Step-by-step explanation:
The proper formula for compound interest is A = P(1 + r/n)^(nt), where r is the interest rate as a decimal fraction, n is the number of times that interest is compounded in 1 year, and t is the number of years.
In this problem, we don't need to calculate the Amount, but only the number of compounding periods. That is nt, which here is 12*5, or 60.
Can someone please help me with math.
Answer:
neither positive nor negative
Step-by-step explanation:
In order to identify a type of correlation the points have to form where we can draw a line through the points and most of the points will be near that line drawn.
Because most of the points graphed are scattered we cannot identify if it has a positive or negative correlation
Please help quarter ends tomorrow and I don’t know what to do I’m failing all my classes
Answer:
The answer is: x-y-10=0
based on sample one, how many students from the entire student population preferred the 8:30 am start time
Write an expression for the operation described below. r times 10
Answer:
r * 10
Step-by-step explanation:
* stands for multiplying.
Watch rep
Jayden invested $1,500 in an account in the year 2005, and the value has been
growing exponentially at a constant rate. The value of the account reached $1, 800 in
the year 2011. Determine the value of the account, to the nearest dollar, in the year
2019.
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AnCTOR
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11
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Something happened when you copy and pasted the question, was it important to the question?
Is it possible to use dynamic geometry software to draw a triangle with
angles of 50°, 65°, and 70°? Explain.
Answer:
no
Step-by-step explanation:
The sum of the angles of a triangle must be equal to 180
50+65+70
185
This is not equal to 180 so it does not make a triangle
I need help please!!!!
Answer:
y = x + 3
Step-by-step explanation:
So my teacher gave me this super hard problem that i could't answer...its 999999999999x99999999999+9 billion can yall help me
Answer:
10^22
Step-by-step explanation:
Answer:
sure is = 9023000000
Step-by-step explanation:
What is the distance between (-1,3) and (4,2)
Answer: 6
Step-by-step explanation:
Given the following polygon, find the sum of the interior angles and the value of x,
pls help
Answer:
sum of interior angles - 540
x = 112
Step-by-step explanation:
Hello There!
Geometry
The sum of the interior angles can be found using this formula
let x = sum of interior angles and n = number of sides
x = ( n - 2 ) * 180
there are 5 sides so we plug in 5 to n
5 - 2 = 3
3 * 180 = 540 so the sum of the interior angles is 540
Now to solve for x
Remember the sum of the interior angles is 540 so we use this equation to solve for x
Simple Algebra
540 = x + 118 + 105 + 75 + 130
step 1 combine like terms
118 + 105 + 75 + 130 = 428
now we have 540 = 428 + x
step 2 subtract 428 from each side
540 - 428 = 112
we're left with x = 112