Question

Using the information provided below, write the quadratic equation for the parabola in both factored and standard form. Roots: -3 and 5; a = 2

Answer 1

The equation of the parabola in the factored form can be written as,

`\begin{gathered} y=2(x-(-3))(x-5) \\ y=2(x+3)(x-5) \end{gathered}`

The standard form of the parabola can be determined as,

`\begin{gathered} y=2\lbrack x^2-2x-15\rbrack \\ =2x^2-4x-30 \end{gathered}`

Thus, the above expression gives the factored and standard form of the parabola.