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:

8

step-by-step explanation:

this is a subtraction problem.

10 - 2 = 8

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.