### Home > CCA2 > Chapter C > Lesson C.1.3 > ProblemC-53

C-53.

Based on the graph, give a possible equation for the parabola. Homework Help ✎

1. The $x$-coordinates of the $x$-intercepts are roots of the equation. If you know the roots, can you find the factors?

The factors are $x$ and $(x - 4)$. Use a generic rectangle to find the equation.

$x^2 - 4x = y$

1. See the help for part (a).

1. See the help for part (a). Instead of using fractions, multiply each factor by the fraction's denominator.

The factors can be written as $(2x + 1)$ and $(2x - 3)$.