Quadratics - Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

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Back

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.

Front

How does changing the value of 'a' affect the graph of the quadratic?

Back

Increasing the absolute value of 'a' makes the parabola narrower, while decreasing it makes the parabola wider.

Front

What is the significance of the vertex (h, k) in the vertex form?

Back

The vertex (h, k) represents the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

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Back

Front

Back

This equation represents a translation of the graph 5 units to the right and 1 unit down.

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Back

Multiplying by a negative number causes the graph to reflect over the x-axis, making it open downwards.

Front

What is the effect of adding a constant to the vertex form equation?

Back

Adding a constant to the vertex form equation shifts the graph vertically. If the constant is positive, it shifts up; if negative, it shifts down.

Front

How can you determine if a quadratic opens upwards or downwards?

Back

Front

Back

The vertex of the quadratic is (-3, 5).