highschoolgraduate highschoolgraduate
  • 10-05-2019
  • Mathematics
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please help
Find the x-intercepts for the parabola defined by the equation below.


y = 2x2 + 2x - 4

A.

(-4, 0) and (2, 0)

B.

(-2, 0) and (1, 0)

C.

(0, -2) and (0, 1)

D.

(0, -4) and (0, 2)

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 10-05-2019

Answer:

B. (-2, 0) and (1, 0)

Step-by-step explanation:

The equation can be factored as ...

y = 2(x^2 +x -2) = 2(x +2)(x -1)

The x-intercepts are the values of x where y=0, so will be the values of x that make one or the other of the binomial factors zero:

x = -2

x = 1

Then the intercept points are (-2, 0) and (1, 0). . . . . . . . . matches choice B

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