Respuesta :
To apply the changes to the equation of a vertical stretch of 4 and a translation of 3 units to the right, as well as the correct answer would be choice B.
The reason for this is when you apply a vertical stretch, because it changes the y-values (which causes it to vertically stretch or appear skinnier when graphed), you would multiply 4 to f(x) which would look like 4x^2.
Then, since you have a reflection over the x-axis, you must multiply a -1 to f(x) to reflect it over the x-axis which would result in -4x^2.
Finally, it also asks to shift the graph right 3 which by moving it right, you change the x values meaning you will perform f(x-3) to achieve this (subtract the value from x when you move right, and add the value to x when you move left).
This therefore results in your answer, the new graph would be
g(x)= -4(x-3)^2 or choice B.
The reason for this is when you apply a vertical stretch, because it changes the y-values (which causes it to vertically stretch or appear skinnier when graphed), you would multiply 4 to f(x) which would look like 4x^2.
Then, since you have a reflection over the x-axis, you must multiply a -1 to f(x) to reflect it over the x-axis which would result in -4x^2.
Finally, it also asks to shift the graph right 3 which by moving it right, you change the x values meaning you will perform f(x-3) to achieve this (subtract the value from x when you move right, and add the value to x when you move left).
This therefore results in your answer, the new graph would be
g(x)= -4(x-3)^2 or choice B.
The equation of the new function is g(x)= -4(x-3)²
The correct answer is (B)
What is quadratic equation?
The polynomial of degree two is called quadratic polynomial and equation corresponding to a quadratic polynomial P(x) is called a quadratic equation.
Given function is : F(x)= x²
The vertical stretch by factor of 4 is can be satisfied by (b)
if we apply a vertical stretch, it changes the y-values which causes it to appear skinnier when graphed, and multiply 4 to f(x) which gives 4x².
As the reflection over the x-axis, so multiply it by -1 to f(x), which result in -4x².
Finally, shift the graph right 3 which by moving it right, so by changing the x values meaning use f(x-3), to get this subtract the value from x when you move right, and add the value to x when you move left.
Hence, the new graph would be g(x)= -4(x-3)²
Learn more about quadratic equation here:
https://brainly.com/question/2263981
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