What is the vertex of y=4(x+2)22x24x+3?

1 Answer

(3,1)

Explanation:

Firstly, expand the squared brackets:
y=4(x2+4x+4)2x24x+3
Then, expand the brackets:
y=4x2+16x+162x24x+3
Collect like terms:
y=2x2+12x+19
Use formula for x-turning point: (b2a)
thus, x=3
Plug -3 back into the original formula for y coordinate:
4(3+2)22(3)24(3)+3=418+12+3=1
therefore the vertex is: (3,1)