Find the quadratic equation for y=4x^2-5

1) if you want to find the roots:

For this case we have the following quadratic equation:

To find the solutions we do

We add 5 to both sides of the equation:

DIviding between 4 to both sides of the equation:

We apply square root to both sides:

Thus, the roots are:

2): if you want to write the equation in vertex form:

The general quadratic equation is:

where,

a: is the leading coefficient

(h,k): is the verex of the quadratic equation

Comparing with the original equation we have

So, the vertex is:

Answer

The quadratic equation in vertex form is:

slope is 35 and 20 miles is the y-intercept.

step-by-step explanation: