Question

How do you write the Vertex form equation of the parabola `y=2x^2+10+9`?

Answer 1

`y=2(x+5/2)^2-7/2`

Explanation:

Assuming you meant `10color(red)(x)`, not `10`

`y=2x^2+10x+9`

`y=2[x^2+5x+9/2]`

`y=2[(x+5/2)^2-25/4+9/2]`

`y=2[(x+5/2)^2-7/4]`

`y=2(x+5/2)^2-7/2`