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Oliga [24]
2 years ago
8

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

ion?
Mathematics
1 answer:
Gennadij [26K]2 years ago
4 0
<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)

  • r and s = intercepts/zeros of the graph

<h2>Solving the Question</h2>

We're given:

  • Zeros: -8, 4
  • Maximum: (-2, 18)

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}

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