# How do you find the vertex of the parabola: #y=-5x^2+10x+3#?

##### 1 Answer

Aug 10, 2015

The vertex is

#### Explanation:

The x point of the vertex

~

The Axis of Symmetry of a Quadratic Equation

can be represented by

when given the quadratic equation

~

In this case, given that

we can see that

plugging this into

will get us:

which simplifies to

~

Now that we know the x value of the vertex point, we can use it to find the y value of the point!

Plugging

we will get:

which simplifies to:

~

so we have

for the vertex point of

therefore the vertex is