0. Functions

Common Functions

0. Functions

Common Functions

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Multiple Choice

Where is the axis of symmetry located on the given parabola?

$x=3$

$x=0$

$x=1$

$x=4$

Verified step by step guidance

Step 1: Observe the graph of the parabola provided. The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves.

Step 2: Identify the vertex of the parabola, which is the lowest point in this case since the parabola opens upwards. From the graph, the vertex is located at (3, 0).

Step 3: Recall that the axis of symmetry for a parabola is always a vertical line passing through the x-coordinate of the vertex. Therefore, the axis of symmetry is x = 3.

Step 4: Verify this by observing that the parabola is symmetric about the line x = 3. Points on either side of this line have the same y-values.

Step 5: Conclude that the axis of symmetry is located at x = 3, as it divides the parabola into two equal halves.

5:57m

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