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The quadratic function y = —x? + 9x - 14 is drawn below.

Use the symmetry of the quadratic curve to find the coordinates of the turning point (the maximum).

The quadratic function y = —x? + 9x - 14 is drawn below. Use the symmetry of the quadratic-example-1
User Aungye
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1 Answer

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The coordinates of the turning point (maximum) is (9/2, 25/4).

How to find the turning point

The symmetry of a quadratic function is given by the axis of symmetry, which is a vertical line that passes through the vertex (turning point) of the parabola.

The formula for the axis of symmetry is given by:

x = -b / 2a

where b = 9 and a = -1

x = -9 / (2 * -1) = 9/2

Calculate the value of y

y = (9/2)² + 9(9/2) -14

y = 25/4

The coordinates of the turning point (maximum) are

(9/2, 25/4).

User Dewi Morgan
by
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