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oksano4ka [1.4K]
3 years ago
6

PLEASE HELP. WILL MARK BRAINLIEST.

Mathematics
1 answer:
Alina [70]3 years ago
6 0

Answer:

y = x² + 6x + 8

Step-by-step explanation:

The zeros ( x- intercepts ) of the graph are x = - 4 and x = - 2, thus

the factors are (x + 4) and (x + 2) and the function is the product of the factors.

y = a(x + 4)(x + 2) ← a is a multiplier

To find a substitute (0, 8 ) the y- intercept into the equation

8 = a(0 + 4)(0 + 2) = a(4)(2) = 8a ( divide both sides by 8 )

a = 1, thus

y = (x + 4)(x + 2) ← expand using FOIL

  = x² + 6x + 8

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see below

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