Question

Is my answer correct?
Write this quadratic function in the vertex form y = 4(x+5)(x-2)
= 4(x² + 3x - 10)
= 4(x² + 3x + 9/4 - 10 - 9/4)
= 4(x² + 3x + 9/4) - 49
= 4(x+3/2)² - 49

Ans: y = 4(x+3/2)² - 49
Vertex = (-3/2, -49)

Answer 1

Yes.

Answer 2

Y = 4(x+5)(x-2).
= 4(x^2-2x+5x-10),
= 4(x^2+3x-10),
Y = 4x^2+12x-40.

Vertex form: a(x-h)*2 + k.
a = 4.
h = -B/2A = -12/8 = -3/2.
K = 4(-3/2)^2 + 12(-3/2) - 40 = 9 - 18 - 40 = -49.

Y = 4(x+3/2)^2 -49. You are correct!! Excellent job!