Question

ASAP:

How does the graph of g(x) = (x + 4)3 − 5 compare to the parent function f(x) = x3? g(x) is shifted 4 units to the right and 5 units up. g(x) is shifted 5 units to the right and 4 units up. g(x) is shifted 4 units to the left and 5 units down. g(x) is shifted 5 units to the right and 4 units down.

Answer 1

The graph of g(x) = (x + 4)^3 - 5 is shifted 4 units to the left and 5 units down from the parent function f(x) = x^3.

Step-by-step explanation:

The question asks how the graph of g(x) = (x + 4)3 − 5 compares to the parent function f(x) = x3. To understand the transformation of the function, consider the general form of transformations for a function: f(x - h) + k, where h indicates a horizontal shift and k indicates a vertical shift. Applying this to g(x), the term (x + 4) indicates a horizontal shift to the left by 4 units (since we would set x-(-4) to zero to find the shift), and the − 5 at the end indicates a vertical shift downward by 5 units. Therefore, the transformation results in the graph of g(x) being shifted 4 units to the left and 5 units down from the parent function f(x).