Question

How does the graph of g(x) = (x + 4)^3 − 6 compare to the parent function f(x) = x^3?

g(x) is shifted 6 units to the left and 4 units down.
g(x) is shifted 4 units to the right and 6 units down.
g(x) is shifted 6 units to the left and 4 units up.
g(x) is shifted 4 units to the left and 6 units down.

Answer 1

Answer:

Shifted 4 units left and 6 units down

Step-by-step explanation:

This function is in vertex form

$f(x)=a(x-h)^2+k$

For parabolas, the vertex is (h,k)

Positive h value = positive x value / Negative h value = negative x value

Positive k value = positive y value / Negative k value = negative y value

In g(x), h = -4, plugging -4 into the vertex form gives you:

g(x) = (x- -4)...

Double negatives make positives -> g(x) = (x+4)