Question

What is the equation, in standard form, of a parabola that models the values in the table?

Answer 1

Using the values in the table you can easily use the provided x-values to plug into any equation to get a corresponding f(x) value. When applying this to the 4 functions, we see that only the second answer choice will give the exact same outputs when the inputs are plugged in from the table.

`4x^2+3x-6`

`x=-2\\f(-2)=4(-2)^2+3(-2)-6\\f(-2)=4`

`x=0\\f(0)=4(0)^2+3(0)-6\\f(0)=-6`

`x=4\\f(4)=4(4)^2+3(4)-6\\f(4)=70`