Question

Convert the function into vertex form. Show your work. y = 2(x - 3)(x + 4)

Answer 1

y= 2(x^2-3x+4x -12)
y = 2(x^2+x-12)
ax^2 + 2abx +b^2
2ab = 1
a = 1
so b = 0.5
so b^2 = 0.25
y = 2(x^2 +x +0.25 -12.25)
y = 2(x+0.5)^2 - 24.5