Question

Find the vertex of the quadratic equation: y = 2x2 + 8x − 4.

Answer 1

You need to complete the square. Do you know how to do it?

Answer 2

the vertex is (2,-12)

Answer 3

(-2, -12)

Answer 4

can you explain how yuo got that?

Answer 5

not sure how to do this

Answer 6

2(x^2 + 4x - 2) = y
x^2 + 4x - 2 = y/2
x^2 + 4x +4 = y/2 + 6

(x+2)^2 = y/2 + 6

(x+2)^2 - 6 = y/2

2(x + 2)^2 - 12 = y

so the vertex is (-2, -12)

Answer 7

ty

Answer 8

you can use the equation -(b/2a) to find the vortex
2x^(2) + 8x − 4.
where
a=2
b = 8

so
-(8/2(2)) = -2 = x
now sub -2 into the equation to find the y value and you have your vortex