Graph transformations (functions)

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Last updated 8:07 PM on 5/17/26
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8 Terms

1
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<p>What does f(x) + a mean in translations?</p>

What does f(x) + a mean in translations?

It means translating up or down. Negative means translate down and positive mean translate up.

<p>It means translating&nbsp;up or down. Negative means translate down and positive mean translate up.</p>
2
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<p>What does f(x- a) mean in translations?</p>

What does f(x- a) mean in translations?

It means translating left and right. If it is x - a, it goes right. If it is x + a, it goes left.

<p>It means translating left and right. If it is x - a, it goes right. If it is x + a, it goes left.</p>
3
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<p>What does -f(x) mean in reflections?</p>

What does -f(x) mean in reflections?

It is a reflection across the x- axis.

<p>It is a reflection across the x- axis.</p>
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<p>What does f(-x) mean in reflection?</p>

What does f(-x) mean in reflection?

It is a reflection across the y- axis.

<p>It is a reflection across the y- axis.</p>
5
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Linear equation

Y = mx + b

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Quadratic equation

Y = ax²+bx+c

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Exponential Equation

y=a*b^x\, if b is greater than 1, it gets bigger, less than 1 makes it get smaller

<p>y=a*b^x\, if b is greater than 1, it gets bigger, less than 1 makes it get smaller</p>
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Domain and range

Domain is x and range is y