Question

Identify the vertex for the graph of y = 2x2 + 8x − 3.

(2, 21)

(2, 17)

(−2, −11)

(−2, −27)

Answer 1

\[y=2x ^{2}+8x-3=2\left(x ^{2}+4x+4-4 \right)-3=2\left( x ^{2}+4x+4 \right)-8-3\]
\[y=2\left( x+2 \right)^{2}-11,\frac{ y+11 }{2 }=\left( x+2 \right)^{2}\]
\[\left( x+2 \right)^{2}=\frac{ 1 }{2 }\left( y+11 \right)\]
it is a upper parabola with vertex (-2,-11)

Answer 2

@surjithayer are you still typing your response?

Answer 3

Thank you so much!!!