Question

What is the axis of symmetry for y=8x2+2x−6?

Answer 1

Answer:

y=2( x - $2^{2}$)-2

Step-by-step explanation:

Use the vertex form,  y=a(x - $h^{2}$)+k to determine the values of A,H,K

a=2

h=2

k=   -2

Since the value of a is positive the parabola opens up.

Find the vertex (h,k)

(2, -2)

Find p the distance from the vertex to the focus.

$\frac{1}{8}$

Find the focus

(2,  -$\frac{15}{8}$)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x=2