Question

PLS HELP 30 POINTS

The graph represents a quadratic function. Write an equation of the function in standard form.

Answer 1

f(x) =
`x^(2)` -4x -2

Explanation:

Answer 2

Answer:
`y=x^2 -4x-2`

Explanation:

The equation in vertex form is
`y=a(x-2)^2 -6`. Substituting in the coordinates (5, 3),

`3=a(5-2)^2 -6\\\\3=9a-6\\\\9=9a\\\\a=1`

So, the equation is
`y=(x-2)^2 -6`. This expands as follows:

`(x-2)^2 -6\\\\=x^2 -4x+4-6\\\\=x^2 -4x-2`