Question

What transformations of the parent function f(x) = lxl should be made to graph, f(x) = -lxl +5

Reflection over the x-axis, shift down 5 units.
Reflection over the x-axis, shift up 5 units.
Reflection over the y-axis, shift down 5 units.
Reflection over the y-axis, shift up 5 units.

Answer 1

Reflection over the x-axis, shirt up 5 units

Explanation:

It's a reflection because the x axis is a negative, and +5 moves up 5 units on the y axis

Answer 2

Reflection over the x-axis, shift up 5 units

Explanation:

Given Parent Function:

• f(x) = |x|

Transformed function:

• f(x) = - |x| + 5

In transformed function:

• f(x) = -|x|, Represent that parents function is first reflected over the x - axis.

then in transformed function,

• f(x) = -|x| + 5

represent that after reflection function is shifted 5 unit in upward direction.