Respuesta :
The correct answer to this question is: "a.The parent function y=x^3 is shifted 10 units to the right."
Nothing is being added to y to move it up or down.
Nothing is multiplying y to stretch it.
The only thing that is modified is the x values .. which determine right and left positions
Answer:
Option a is correct
The parent function y=x^3 is shifted 10 units to the right.
Step-by-step explanation:
Horizontal shift:
If a parent function y = f(x);
then; the transformation y = f(x+h) is either horizontal right or left.
If h < 0, then the shift is h units right
If h > 0, then the shift is h units left
As per the statement:
The transformed function below is obtained from its parent function [tex]y=x^3[/tex] is:
[tex]y = (x-10)^3[/tex]
By definition of horizontal shift:
h = -10 < 0
⇒so the graph is shifted to 10 units right
Therefore, The parent function y=x^3 is shifted 10 units to the right.