Question

Consider the parent function below f(x)= -5x-8. Create a transformed function h(x) that has been shifted down 2 units and reflected over the x- axis.

A. h(x)=-5x-8
B. h(x) =5x+6
C. h(x)+5x=10
D. h(x)-5x-10

Answer 1

To create a transformed function that has been shifted down 2 units and reflected over the x-axis from the parent function f(x) = -5x - 8, subtract 2 and change the sign of the coefficient of x.

Step-by-step explanation:

To create a transformed function that has been shifted down 2 units and reflected over the x-axis, we need to make two adjustments to the parent function f(x) = -5x - 8.

First, to shift the function down 2 units, we subtract 2 from the function:

h(x) = -5x - 8 - 2 = -5x - 10.

Then, to reflect the function over the x-axis, we change the sign of the coefficient of x:

h(x) = 5x - 10.

Therefore, the transformed function that has been shifted down 2 units and reflected over the x-axis is h(x) = 5x - 10.