Cubic and Cube Root Functions and Equations — Test
Question 9 • Algebra II
The graph of the parent function f of x is equal to x cubed is translated to form the graph of g of x is equal to open paren x minus 1 close paren cubed plus 2 Which is the graph of g of x , the translated function?
Answer
A
Image with description On a coordinate plane, the graph of the parent cubic function is shifted 1 unit left and 2 units down.
B
Image with description On a coordinate plane, the graph of the parent cubic function is shifted 1 unit right and 2 units up.
C
Image with description On a coordinate plane, the graph of the parent cubic function is shifted 2 units right and 1 unit up.
D
Image with description On a coordinate plane, the graph of the parent cubic function is shifted 2 units left and 1 unit down.
Explanation
In g(x) = (x − 1)³ + 2, subtracting 1 inside the input shifts the parent graph x³ 1 unit to the right. Adding 2 outside shifts it 2 units up. Therefore, the correct graph is the one shifted 1 unit right and 2 units up.
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