Question

5. Which transformation describes theequation from its parent equation?5f(x)A horizontal shift left 5 unitsB vertical shift up 5 unitsC vertical compression by a factor of 0.2D vertical stretch by a factor of 5

Answer 1

D. vertical stretch by a factor of 5

Step-by-step explanation

We have that the function given was transformed from its parent function. The function given is:

5f(x)

An horizontal or vertical shift is not represented by the transformation given.

The transformation given represents a dilation. A dilation is represented as:

g(x) = a * f(x)

where a = scale factor

When a is less than 1, it is a compression, when a is greater than 1, it is a stretch.

From the function given:

a = 5

Therefore, there was a vertical stretch by a factor of 5.