Question

How do you write standard form of quadratic equation of vertex (2,3) and yint = 11?

Answer 1

Write the equation in vertex form and then simplify to get standard form.

`y = 2x^2-8x+11`

Explanation:

Write in vertex form
`y = a(x-h)^2 + k`
`y = a(x-2)^2 + 3`

Use y intercept to find constant `a`:
`11 = a*4 + 3`
`a = 2`

Rewrite and simplify with `a=2`:

`y = 2(x-2)^2 + 3`
`y = 2* (x^2-4x+4)+3`
`y = 2x^2-8x+11`