# How do you graph the parabola #f(x)=x ^2 + 3x-10# using vertex, intercepts and additional points?

##### 2 Answers

After calculating the vertex and intercepts and plotting them, calculate additional points,

#### Explanation:

To find the vertex, we use the formula

Standard form is

In our case:

This means the

Plugging the

Our vertex is therefore

Now, we can calculate the

The

So, our

The

So, our

Now, we have four relevant points that we can plot. These are:

- The vertex,
#(-3/2,-49/4)# - The
#x# -intercepts,#(-5,0)# and#(2,0)# - And the
#y# -intercept,#(0,-10)#

After plotting these, we likely wish to plot some additional points in between to more accurately graph it. We would choose

These would be points within our range of crucial coordinates, so anywhere between our lowest

You may also plot more points outside of this range to give a more complete picture.

#### Explanation:

I have handwritten my explanation, I hope it is legible :)

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