The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. The point (0, 0) on the graph

Question

Lisa [10]

3 years ago

5

The graph of the parent function f(x) = x3 is translated to form 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

2 answers:

HACTEHA [7] · Answer 1 · 2022-08-17T11:42:14+03:00

HACTEHA [7]3 years ago

8 0

Answer:4, -7

Step-by-step explanation:

tensa zangetsu [6.8K] · Answer 2 · 2022-08-17T10:32:02+03:00

Answer:

The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)

Step-by-step explanation:

Notice that when we start with the function $f(x)=x^3$ , and then transform it into the function: $g(x)=(x-4)^3-7$

what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).

Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).

then the point (0, 0) after the translation becomes: (4, -7)