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In this lesson, we will learn how to identify the axis of symmetry of a quadratic function given an equation, a vertex, or a graph.

Q1:

What is the axis of symmetry of the graph of the function π ( π₯ ) = ( π₯ + 3 ) + 4 2 ?

Q2:

Find the equation of the axis of symmetry of the function π ( π₯ ) = β 7 π₯ β 1 4 π₯ + 5 2 .

Q3:

What is the equation of the axis of symmetry of the graph of the function π ( π₯ ) = π₯ β 1 6 π₯ β 6 4 2 ?

Q4:

The point ( β 1 8 , 2 ) is the vertex of a parabola described by a quadratic function. Find the equation of its axis of symmetry.

Q5:

The point ( 5 , β 1 4 ) is the vertex of a parabola described by a quadratic function. Find the equation of its axis of symmetry.

Q6:

The point ( β 1 2 , β 5 ) is the vertex of a parabola described by a quadratic function. Find the equation of its axis of symmetry.

Q7:

Find the equation of the axis of symmetry of the function π ( π₯ ) = β 1 2 π₯ β 1 3 + 2 π₯ 2 .

Q8:

Find the equation of the axis of symmetry of the function π ( π₯ ) = | β 3 β π₯ | .

Q9:

Find the equation of the axis of symmetry of the function π ( π₯ ) = | β 6 β π₯ | .

Q10:

In the graph below, find the axis of symmetry.

Q11:

Find the equation of the axis of symmetry of the function π ( π₯ ) = π₯ 2 .

Q12:

Find the axis of symmetry of the quadratic equation π¦ = β 2 π₯ + 1 2 π₯ β 1 2 .

Q13:

Determine the equation of the line of symmetry of the curve.

Q14:

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