# How do you find the vertex and axis of symmetry, and then graph the parabola given by: #f(x)=2x^2-6x-5#?

##### 1 Answer

Sep 26, 2015

The x-coordinate of the vertex is equal to

#### Explanation:

The general format of a quadratic equation is:

So, for this problem:

The vertex (x,y) has an x value:

To find the y value of the vertex, simply plug the x value (1.5) back into the equation:

So the vertex is

The axis of symmetry travels vertical through the x value of the vetex:

axis of symmetry:

In order to graph the function, simply set up an x-y table and plug some x values {-5,-4,-3,-2,-1,0,1,2,3,4,5} into the equation to solve for y:

graph{2x^2-6x-5 [-18.3, 21.7, -10.8, 9.2]}

Hope that helped