Solving Quadratic Equations - Graphing

Front

What is a quadratic equation?

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Front

What are the roots of a quadratic equation?

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The roots of a quadratic equation are the values of x that make the equation equal to zero. They can be found using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

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Front

How do you find the vertex of a parabola represented by a quadratic equation?

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Front

What does the discriminant of a quadratic equation tell us?

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Front

How can you graph a quadratic function?

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To graph a quadratic function, identify the vertex, axis of symmetry, and intercepts. Plot these points and draw a smooth curve through them.

Front

What is the axis of symmetry in a quadratic function?

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Front

What are the x-intercepts of a quadratic function?

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Front

What is the significance of the leading coefficient in a quadratic function?

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The leading coefficient (a) determines the direction of the parabola: if a > 0, the parabola opens upwards; if a < 0, it opens downwards.

Front

How do you determine the y-intercept of a quadratic function?

Back