Answer:
C) horizontal reflection over y-axis and shifts up 4 units
Step-by-step explanation:
Given:
Parent function:
[tex]f(x)=x[/tex]
Transformation:
[tex]f(x)\rightarrow f(-x)+4[/tex]
Solution:
Transformation rules being applied.
[tex]f(x)\rightarrow f(-x)[/tex]
Horizontal reflection on y-axis.
[tex]f(x)\rightarrow f(x)+k[/tex]
Shift of [tex]k[/tex] units up.
Thus for the given transformation : [tex]f(x)\rightarrow f(-x)+4[/tex]
Transformation 1: [tex]f(x)\rightarrow f(-x)[/tex]
The above transformation carries out horizontal reflection on y-axis.
Transformation 2: [tex]f(x)\rightarrow f(-x)+4[/tex]
The above transformation will shift the graph 4 units up.
The effect on graph of [tex]f(x)[/tex] is horizontal reflection over y-axis and shifts up 4 units
