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Find the exact equation of the function graphed to the right. Show your work. Vertex: (-2,4) x intercepts:(-5,0) (1,0) y intercept (0,2)

Sagot :

The equation for the parabola Is; y = -²/₅[(x + 5)(x - 1)]

How to Interpret a Quadratic Graph?

We are given the following;

x-intercepts = (-5,0) and (1,0)

y - intercept = (0, 2)

We know that the x-intercepts are the roots of the quadratic equation while the y-intercept is the value of y when x is zero.

Thus;

(x + 5) and (x - 1) are factors of the given quadratic equation.

f(x) = a(x + 5)(x - 1)

At y-intercept of (0,2), we have;

a(0 + 5)(0 - 1) = 2

a = -2/5

Thus we can write the equation for the parabola as;

y = -²/₅[(x + 5)(x - 1)]

Read more about Quadratic Graph at; https://brainly.com/question/24191982

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