# What is the axis of symmetry and vertex for the graph #y = x^2 - 2#?

##### 1 Answer

Feb 29, 2016

axis of symmetry is x = 0

vertex (0,-2)

#### Explanation:

The graph of

#y = x^2 " is symmetrical about the y-axis"#

and has it's vertex at the origin (0,0) as shown below.

graph{x^2 [-10, 10, -5, 5]}

The graph of#y = x^2 - 2 " is the graph of " y = x^2# but translated by

#((0),(-2)) " moved 2 units down vertically"# It is still symmetrical about the y-axis

hence axis of symmetry is x = 0 .

and vertex at (0,-2) as shown on graph.

graph{x^2-2 [-10, 10, -5, 5]}