# How do you identify the important parts of #y = x^2 − 36# to graph it?

##### 2 Answers

See below:

#### Explanation:

We know we will be dealing with an upward opening parabola, since the coefficient on the

One thing we can do is factor this expression so we can find its **zeroes**, or

You might immediately recognize that we're dealing with a difference of squares of the form

Setting both factors equal to zero, we get

graph{x^2-36 [-80, 80, -40, 40]}

Hope this helps!

The given curve

The above curve shows an upward parabola

Vertex:

Focus:

Axis of symmetry: