### Home > CCA2 > Chapter 12 > Lesson 12.1.4 > Problem12-74

12-74.

Find the equation of a cubic function that has $y = x^3$ as its parent graph, a locator point at $(-6, -10)$, and passes through the origin.

Substitute the locator point (h, k) into the general equation
$y = a(x - h)^3 + k.$

Use the known point, other than the locator point that lies on the graph, to solve
for the stretch factor, $a$. In this case, you are given the origin, $(0, 0)$. Solve for a
and write the equation of the function.

$0 = a(0 + 6) - 10$