# What is the vertex form of #y=-12x^2+144x+2#?

##### 1 Answer

The vertex is a coordinate

It's important to know the formula for finding the **axis of symmetry** for these type of problems.

The axis of symmetry is the "point of reflection" for the parabola for the quadratic equation. If you graph the equation, then you will see that from that particular x coordinate, the parabola is basically reflecting th y-coordinates.

Also know that the standard form of a quadratic equation is:

In this case, the a term is -12, the b term is 144, and the c term is 2.

Substitute these values accordingly to the formula for finding the axis of symmetry.

This is the x value of the coordinate of the vertex.

To find the y value plug in the x value back to the equation:

So our vertex is: (6, 434) graph{-12x^2 + 144x + 2 [-126.6, 157.7, 308.5, 450.7]}

*Notice this graph. The parabola is very thin so it is somewhat difficult to exactly decipher the vertex accurately. But it is around
(6, 434).*