The graph of the parent function f(x)=x^3 is translated to from the graph of g(x)=(x-4)^3-7. The point (0,0) on the graph of f(x

Question

Zigmanuir [339]

3 years ago

15

The graph of the parent function f(x)=x^3 is translated to from the graph of g(x)=(x-4)^3-7. The point (0,0) on the graph of f(x

) corresponds to which point on the graph of g(x)?

Mathematics

1 answer:

wel · Answer 1 · 2022-07-09T20:51:35+03:00

<h2>Answer: </h2>

(4, -7)

<h2>Step-by-step explanation: </h2>

In this exercise we have two functions:

$f(x)=x^3 \ and \\ \\ g(x)=(x-4)^3-7$

The figure below shows the graph of both functions. The graph of the function f has been plotted in red while the graph of the function g has been plotted in blue. As you can see, the graph of the function g has been shifted four units to the right and seven units downward. In other words, the point (0, 0) on the graph of f(x) corresponds to the point (4, -7) on the graph of g(x) and this is also shown in the figure below.