How does the graph of g(x) = (x − 8)3 + 3 compare to the parent function f(x) = x3?
g(x) is shifted 8 units to the left and 3 units up.
g(x) is shifted 3 units to the right and 8 units down.
g(x) is shifted 8 units to the right and 3 units up.
g(x) is shifted 3 units to the right and 8 units up.

C. g(x) is shifted 8 units to the right and 3 units up.

Step-by-step explanation:

We have been given two functions formula. We are asked to compare the the graph of function to graph of parent function .

Let us recall translation rules.

Upon looking at translation rules, we can see that graph of is shifted to right by 8 units and 3 units upwards to get the graph of .

Therefore, option C is the correct choice.

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

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step-by-step explanation: