Question

Find the equation of the quadratic function g whose graph is shown below.p

Answer 1

Explanation:

You have the vertex so, you know the equation of how to get the vertex.

But you don't know the slope.

Then you let a be the slope of the parabola.

So,

g(x)=a
`(x+5)^(2)`-5

Then you need to find a, so you substitute the point (-7,-13) in the the equation.

13 = a
`(-7+5)^(2)`-5

18 = 4a

a =
`(9)/(2)`

therefore,

g(x)=
`(9)/(2)`
`(x+5)^(2)` -5