Vertex Form of Quadratics

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What is the vertex form of a quadratic equation?

Back

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The 'a' value determines the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

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The vertex is the point (h, k) in the equation.

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What is the axis of symmetry in a quadratic function?

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How does changing the value of 'h' in the vertex form affect the graph?

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Changing 'h' translates the graph horizontally. If 'h' increases, the graph shifts to the right; if 'h' decreases, it shifts to the left.

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How does changing the value of 'k' in the vertex form affect the graph?

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Changing 'k' translates the graph vertically. If 'k' increases, the graph shifts up; if 'k' decreases, it shifts down.

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What is the significance of the vertex in a quadratic function?

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The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

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What are the x-intercepts of a quadratic function?

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How do you determine the direction of a parabola from its vertex form?

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The direction is determined by the sign of 'a': if 'a' > 0, the parabola opens upwards; if 'a' < 0, it opens downwards.

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