CPM Homework Help : A2C Problem 4-119

A parabola has vertex (2, 3) and contains the point (0, 0). 4-119 HW eTool (Desmos). Homework Help ✎
1. If this parabola is a function, find its equation.
2. Suppose this parabola is not a function, but is a “sleeping” parabola. Find its equation.

Hint (a):

Use the equation y = a(x − h)² + k; if (h, k) = (2, 3); at (0, 0).

More Help (a):

0 = a(0 − 2)² + 3

−3 = a(4)

$-\frac{3}{4}=\textit{a}$

Answer (a):

$\textit{y}=-\frac{3}{4}(\textit{x}-2)^{2}+3$

Hint (b):

Use the equation x = b(y − k)² + h; if (h, k) = (2, 3); at (0, 0).

Use the eTool below to graph the equations.
Click the link at right for the full version of the eTool: A2C 4-119 HW eTool