Question

What is the vertex of `y= 2x^2+16x + 12`?

Answer 1

vertex: `(x,y)=(-4,-20)`

Explanation:

Convert the given: `y=2x^2+16x+12`
into general vertex form: `y=color(green)(m)(x-color(red)(a))^2+color(blue)(b)` with vertex at `(color(red)(a),color(blue)(b))`

#y=2(x^2+8x)+12

`y=2(x^2+8xcolor(blue)(+4^2))+12 color(blue)(-2(4^2))`

`y=2(x+4)^2-20`

`y=color(green)(2)(x-color(red)(color(white)("")(-4)))^2+color(blue)(color(white)(""X)(-20))`

`color(white)("XXXXXX")`with vertex at `(color(red)(color(white)("")(-4)),color(blue)(color(white)("")(-20)))`
graph{2x^2+16x+12 [-16.64, 8.68, -21.69, -9.03]}