Question

Which function is the result of vertically stretching ƒ(x) = x2 by a factor of 2 and translating it 4 units upward?Question 8 options:A) y = –4x2 + 2B) y = 2x2 + 4C) y = 2x2 – 4D) y = 4x2 + 2

Answer 1

To find the result function,

First stretch it, multiplying it by the factor we want to stretch.

So f(x) = x²

Stretching the function by a factor of 2:

g(x) = 2* f(x)

g(x) = 2* x²

On the other hand, to translate a function 4 units upward, we need to sum it to the function, so the result function is:

g(x) = 2x² + 4

The answer is option B.