52.1k views
2 votes
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

User Rame
by
7.8k points

1 Answer

3 votes

Final answer:

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.

User Fiatjaf
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories