Quadratics - Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

Front

How does the value of 'a' affect the graph of a quadratic function in vertex form?

Back

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

Front

What does the 'h' value represent in the vertex form of a quadratic equation?

Back

The 'h' value represents the horizontal translation of the parabola. If 'h' is positive, the graph shifts to the right; if 'h' is negative, it shifts to the left.

Front

What does the 'k' value represent in the vertex form of a quadratic equation?

Back

The 'k' value represents the vertical translation of the parabola. If 'k' is positive, the graph shifts up; if 'k' is negative, it shifts down.

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Back

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Back

The graph is translated left 9 units and up 5 units.

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Back

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Back

The parabola opens up because the coefficient of the squared term (4) is positive.

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Back

The graph is translated down 7 units.

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Back

The vertex of the function is (-1, -4).