Question

I NEED HELP WITH THIS ASAP PLEASE!!!!!!!

Write the equation for the following function that represents a
horizontal shift left 4 and a vertical shrink by a factor of ½ on the
parent function f(x) = x^2.

Answer 1

f(x) = (x+4)^2 / 2

Explanation:

To make a horizontal shift to the left 4 units, we just need to substitute the value of x for 'x+4', then we will have:

f(x) = (x+4)^2

Then, to make a vertical shrink of 1/2, we just need to multiply the function (the new function after being shifted horizontally to the left) by 1/2, then we will have:

f(x) = (x+4)^2 / 2