Question

Which statements describe one of the transformations performed on f(x) = x²

to create g(x) = 2x² +5? Choose all that apply.
A. A translation of 5 units up
B. A vertical stretch with a scale factor of 2
C. A vertical stretch with a scale factor of
2
D. A translation of 5 units to the right

Answer 1

A.) A translation of 5 units up

B.) or C.) A vertical stretch with a scale factor of 2

Explanation:

When a number is added to an overall function, the graph of a function is shifted upwards that many units.

Because there is a coefficient in front of the "x" variable that is greater than 1, there is a vertical stretch of that amount. Two of the answer choices (B and C) seem to be identical.

There is no shift to the right or left because there is no number directly modifying the "x" variable (ex. f(x) = x² --> g(x) = (x + 2)²).