What is the effect on the graph of the function f(x) = x when f(x) is replaced with f(−x) + 4?
a) vertical reflection over x-axis and shifts up 4 units
b) vertical reflection over x-axis and shifts right 4 units
c) horizontal reflection over y-axis and shifts up 4 units
d) horizontal reflection over y-axis and shifts right 4 units

C) horizontal reflection over y-axis and shifts up 4 units

Step-by-step explanation:

Given:

Parent function:

Transformation:

Solution:

Transformation rules being applied.

Horizontal reflection on y-axis.

Shift of units up.

Thus for the given transformation :

Transformation 1:

The above transformation carries out horizontal reflection on y-axis.

Transformation 2:

The above transformation will shift the graph 4  units up.

The effect on graph of is horizontal reflection over y-axis and shifts up 4 units

correct answer is c. just did it

step-by-step explanation: