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Given y=ax^2, what happens to the graph when a>1? |
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Definition
Stretch - graph gets longer and skinner |
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Given y=ax^2, what happens to the graph when a<0? |
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Definition
Means "a" is a negative number and the Parabola flips. |
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What shape do you get when you graph y=x^2? |
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Definition
Parabola - U shaped graph |
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What shape do you get when you graph y=abs x? |
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Definition
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Given the parent graph of y=ax^2, what happens to the graph when y=(x+h)^2? |
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Definition
Parabola moves "h" units to the left on the x-axis |
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Given the parent graph of y = ax^2, what happens to the graph when y = (x - h)^2? |
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Definition
Parabola moves "h" units to the right on the x-axis |
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Given the parent graph of y = ax^2, what happens to the graph when y = x^2 + k? |
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Definition
Parabola moves "k" units up on the y-axis |
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Given the parent graph of y = ax^2, what happens to the graph when y = x^2 - k |
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Definition
Parabola moves "k" units down on the y-axis |
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Term
When does a parabola have a maximum? What is the maximum value? |
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Definition
When a>0, or when a is positive. At (0, k) |
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When does a parabola have a minimum? What is the Minimum value? |
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Definition
When a<0, or a is negative. At (0, k) |
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Term
What is the vertex of
y = a(x - h)^2 + k? |
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Definition
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When is a quadratic equation in vertex form? |
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Definition
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Term
Given y=ax^2, what happens to the graph when a<1? |
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Definition
Compression - graph gets "fatter"/wider
a<1 is usually a "fraction" |
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