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

Answer 1

axis of symmetry is x = 0
vertex (0,-2)

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]}

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Answer 2

Genesis Allen

Axis of symmetry: The axis of symmetry for the graph of y = x^2 - 2 is the vertical line passing through the vertex of the parabola. It is given by the equation x = 0.

Vertex: The vertex of the parabola represented by the equation y = x^2 - 2 is located at the point (0, -2).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.