LT-3d.1 CYU Graphing Quadratics with Transformations (fall)

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The coefficient 'a' affects the width and direction of the parabola. If |a| > 1, the graph is narrower than the parent graph; if 0 < |a| < 1, it is wider. If a > 0, the parabola opens upwards; if a < 0, it opens downwards.

Front

What is the vertex form of a quadratic equation?

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The vertex is at the point (5, -6). This is derived from the vertex form, where h = 5 and k = -6.

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What is the effect of a negative 'a' value in a quadratic equation?

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A negative 'a' value causes the parabola to open downwards.

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How can you identify if a parabola opens upwards or downwards?

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What is the significance of the vertex in a parabola?

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The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

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1. Identify the vertex (4, 1). 2. Determine the direction (downwards). 3. Plot points around the vertex to form the parabola.

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What does the term 'parent graph' refer to in quadratic functions?

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The axis of symmetry is the vertical line that passes through the vertex. For this equation, it is x = 2.

Front

What is the standard form of a quadratic equation?

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