Question

What transformations of the parent function f(x) = x| should be made to graph, f(x) = - |x| + 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 x-axis, shift down 5 units.

Answer 2

Option B is correct.

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 ove x - axis.

then in transformed function, f(x) = -|x| + 5

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

Therefore, Option B is correct.