Answer:
A
Step-by-step explanation:
Given:
- The original function is:
f(x) = x^3
Find:
How does the graph of g(x) = (x − 1)3 + 5 compare to the original function.
Solution:
- We have a general form of the new function relating to parent function.
g(x) = a*( x +/- b )^n + c
Where; a, b and c are constants.
- The constant a magnitude denotes steepness of the graph relative to 1 and the sign of a will determine the mirror image of the graph about line y = 0.
- The constant b magnitude denotes shifts of the graph of every x value sign of b will determine the direction of shifts. + b : shift left , - b shift right.
- The constant c magnitude denotes shifts of the graph of every y value. sign of c will determine the direction of shifts. + c : shift up , - b shift down.
- In our g(x). a = 1 , b = -1 , c = + 5
Hence, g(x) is shifted 1 unit to the right and 5 units up.
