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]}
