test 3 Quadratic Attributes

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Front

What does it mean for a parabola to open upwards or downwards?

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Tags

CCSS.HSF-IF.C.7A

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Back

Front

Back

This represents a vertical stretch/compression by a factor of |a|, a horizontal shift right by h, and a vertical shift up by k.

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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 whether it opens upwards or downwards.

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How do you determine the x-intercepts of a quadratic function?

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Set the function equal to zero and solve for x using factoring, completing the square, or the quadratic formula.

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

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What is the quadratic formula?

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Tags

CCSS.HSA-REI.B.4B

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What does it mean for a quadratic function to have complex roots?

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Complex roots occur when the discriminant (b^2 - 4ac) is less than zero, indicating that the parabola does not intersect the x-axis.

Tags

CCSS.HSA-REI.B.4B

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A negative coefficient causes the parabola to open downwards, indicating a maximum point at the vertex.

Tags

CCSS.HSF-IF.C.7A

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What is the relationship between the vertex and the axis of symmetry?

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The vertex lies on the axis of symmetry, which divides the parabola into two mirror-image halves.