Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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.


Sagot :

Answer:

Reflection over the x-axis, shift up 5 units

Step-by-step 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.

Answer:

Reflection over the x-axis, shirt up 5 units

Step-by-step explanation:

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