The graph of quadratic function f has zeros of -8 and 4 and a maximum at (-2,18). What is the value of a in the function’s equat

Question

2 years ago

8

ion?

1 answer:

Gennadij [26K] · Answer 1 · 2023-10-29T20:20:55+03:00

<h2>Quadratic Function Equations</h2>

To find the equation of a parabola given the vertex and the zeroes, we can use the intercept form equation to help us:

$y=a(x-r)(x-s)$

<h2>Solving the Question</h2>

We're given:

$y=a(x-r)(x-s)$

⇒ Plug in the given information:

$y=a(x-(-8))(x-4)\\18=a(-2-(-8))(-2-4)\\18=a(-2+8)(-2-4)\\18=a(6)(-6)\\18=a(-36)\\1=-2a\\\\a=-\dfrac{1}{2}$

<h2>Answer</h2>

$a=-\dfrac{1}{2}$