# How do you identify the important parts of #f(x)=x^2+3# to graph it?

##### 1 Answer

- a parabola

- concave upward

- centered at

- shifted up by 3 units

#### Explanation:

First you can try to determine what kind of curve it is.

In this case, we see it's a polynomial of second degree, which means it will be a **parabola** .

To determine whether the parabola is concave upward or downward, check the sign of the term containing

If the function was

Finally, look at the constant term in the expression.

To summarize, we expect

Let's check the graph:

graph{x^2+3 [-10.205, 9.795, -1.08, 8.92]}

Here we can see that we are correct!