Question

If the vertex of a parabola is (0,3), what is the axis of symmetry

Answer 1

Answer: x=0

Step-by-step explanation: The vertex is (0,3) so we know that x is 0 and the axis of symmetry shares the same x value with the vertex. With this problem, when you find the x value of the vertex, you have the axis of symmetry.

Answer 2

The axis of symmetry of the parabola is $x=0$ if it opens upward or downward and the axis of symmetry of the parabola is $y=3$ if it opens left or right.

Important information:

• Vertex of a parabola is (0,3).

Parabola:

If a parabola opens upward or downward and the vertex of a parabola is at point (a,b), then the axis of symmetry is a line $x=a$.

If a parabola opens left or right the vertex of a parabola is at point (a,b), then the axis of symmetry is a line $y=b$.

In the given vertex, $a=0,b=3$.

Therefore, the axis of symmetry of the parabola is $x=0$ if it opens upward or downward and the axis of symmetry of the parabola is $y=3$ if it opens left or right.

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