# How do you graph #y=x^2 - 2#?

##### 1 Answer

Feb 13, 2016

Locate the vertex at (0, -2) and find the values for x=1 and x=-1. Answer: (-1, 1), (0, -2), (1, 1).

#### Explanation:

This is a quadratic function, so you will need at least 3 points to graph it. I suggests finding the vertex and 1 point to its left and 1 to its right. Notice that this function has some peculiarities that make the exercise easier:

- It doesn't have a
#b# term (a number multiplying x), so the vertex must be over the#y# axis. Therefore,#x=0# . - The
#c# term (the one without x) is 2, so the function passes through the y axis at#y=-2# .

The vertex is at (0, -2). So, procced to calculate the function for

Finding other points for the graph is optional. These are enough to have a notion of the graph:

(-1, 1), (0, -2), (1, 1).

graph{x^2-2 [-2, 2, -2.5, 2.5]}