Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

The parent cubic function f(x) = x^3 is translated to the form g(x) = (x - 4)^3 - 2.

This means the points are shifted right 4 and then down 2.

The point (0,0) on the graph of f(x) corresponds to what point on the graph of g(x)?


Answer choices:
A. (4, -2)
B. (-4, 2)
C. (-4, -2)
D. (-2, -4)

Sagot :

facundo3141592

Answer: Option A.  (4, -2)

Step-by-step explanation:

Here we have the transformation such that the points are shifted right 4 and then down 2.

We originially have the point (0, 0)

This means that when x = 0, we have f(0) = 0

such that:

f(0) = 0^3 = 0.

Now we have the function:

g(x) = (x - 4)^3 - 2

The equivalent point to the point (0, 0) is such that the input of the function g(x) (the input is (x - 4)) is equal to the input on the original point (x = 0)

The new input is equal to zero when x = 4.

Such that:

g(4) = (4 - 4)^3 - 2 = (0)^3 - 2 = -2

Then we have the point x = 4, y = -2, or (4, -2)

Then the correct option is A.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.