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Quadratic Function
[image] |
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Square Root Function
[image] |
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Cube Root Function
[image] |
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Absolute Value Function
[image] |
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How do you find horizontal intercepts of a function? |
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Definition
Substitute 0 for y and solve the resulting equation. |
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How do you find vertical intercepts of a function? |
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Definition
Substitute 0 for x and simplify. |
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Exponential Function [image] |
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What are examples of things that you can do to change the appearance of one side of an equation? |
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Definition
1) Simplify 2) Distribute 3) Add 0 4) Multiply by 1 |
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What is the equation of the translated graph?
[image] |
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If g(x) = [image],
What is the equation of the translated graph in terms of f(x), the parent function of g(x)?
[image] |
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Definition
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What is the equation of the following graph?
[image] |
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If g(x) = [image] ,
What is the equation of the translated graph in terms of f(x), the parent function of g(x)?
[image] |
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Definition
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What is the equation of the translated graph?
[image] |
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Definition
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If g(x) = [image],
What is the equation of the translated graph in terms of f(x), the parent function of g(x)?
[image] |
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Definition
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Term
What is the equation of the translated graph?
[image] |
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Definition
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Term
If g(x) = [image],
What is the equation of the translated graph in terms of f(x), the parent function of g(x)?
[image] |
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Definition
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What is the equation of the translated graph?
[image] |
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Definition
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If g(x) = [image],
What is the equation of the translated graph in terms of f(x), the parent function of g(x)?
[image]
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Definition
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What is the equation of the following graph?
[image] |
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Definition
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If g(x) = [image],
What is the equation of the translated graph in terms of f(x), the parent function of g(x)?
[image] |
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Which direction is this function being moved?
f(x) + c |
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Which direction is this function being moved?
f(x) - c |
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Definition
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Which direction is this function being moved?
f(x - c) |
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Definition
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Which direction is this function being moved?
f(x + c) |
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Definition
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If f(x) = x2, what is the function of the graph in red (the translation), in terms of f(x)?
[image] |
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Definition
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If f(x) = x2, what is the function of the graph in red (the translation), in terms of f(x)?
[image] |
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Definition
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If f(x) = x2, what is the function of the graph in red (the translation), in terms of f(x)?
[image] |
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Definition
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If f(x) = x2, what is the function of the graph in red (the translation), in terms of f(x)?
[image] |
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What is the domain of a function? |
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Definition
The domain of a function is the set of all possible inputs. |
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What is the range of a function? |
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Definition
The range of a function is the set of all possible outputs. |
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What is the relationship between the input and output of a function? |
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Definition
The output is a function of the input. |
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What is the vertical intercept of a function? |
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Definition
The vertical intercept of a function is where the graph crosses the vertical axis. |
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What is the horizontal intercept of a function? |
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Definition
The horizontal intercept of a function is where the graph crosses the horizontal axis. |
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How do you find the vertical intercept of a function? |
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Definition
In order to find the vertical intercept of a function, you substitute 0 for the input and find the output. |
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How do you find the horizontal intercept of a function? |
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Definition
In order to find the horizontal intercept of a function, you substitute 0 for the output and solve for the input. |
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Given the symbol f(x), what variable is the input? |
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Definition
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Given the symbol f(x), what is the output? |
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What does the symbol f(3) represent? |
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Definition
f(3) represents the output of the function f(x) when the input is 3. |
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How is this function being transformed? -f(x) |
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How is this function being transformed? 2f(x) |
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Identify all the transformations and the order in which they should be applied: -2f(x-3)-4 |
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Definition
1) Vertically Reflected 2) Vertically Stretched 3) Horizontally Translated to the right 3 4) Vertically Translated down 4 |
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