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Name the Parent Function
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g(x) = x 2 – 1 Quadratic
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f(x) = 2|x-1| Absolute Value
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h(x) = 𝑥−2 Radical
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g(x) = x3+ 3 Cubic
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g(x) = 1 𝑥+6 Rational
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f(x) = -2x + 5 Linear
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f(x) = 5 Constant
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Name the Function Linear
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Name the Function Constant
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Name the Function Absolute Value
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Name The Function Exponential
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Name The Function Square Root or Radical
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Name the Function Quadratic
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Name the Function (Bonus)
Cubic
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Tell Me the Transformation Looking at the Function
Remember: Flip, Left, Right, Up, Down Narrow, Wider
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Flip |x| -|x|
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Wider |x| 1 2 |x|
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Narrower |x| 3|x|
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Right |x| |x-3|
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Left |x| |x+7|
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up |x| |x|+3
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down |x| |x|-4
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Flip, Narrow, Left, Down |x| -2|x+5|-4
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Wider, right, up |x| 2 3 |x-3|+2
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Tell Me the Transformation Looking at just the graph
Remember: Flip, Left, Right, Up, Down Narrow, Wider
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Transformation Graph:
Narrow Main Graph Transformation Graph:
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Transformation Graph:
Wider Main Graph Transformation Graph:
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Transformation Graph:
Moved Down Main Graph Transformation Graph:
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Transformation Graph:
Up, and to the Left Main Graph Transformation Graph:
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Narrow, Flipped, Right, Down
Main Graph Transformation Graph:
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Am I a Function or Just a Relationship
HOW DO YOU KNOW?
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Function The x-values do not repeat
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Not a Function The x-value of 4 repeats
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Not a function The x-value of 6 repeats
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Function The x-values do not repeat
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Function Passes the vertical line test
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Not a function Does not pass the vertical line test
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Function Each input has one out put.
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Not a function The x-value or the inputs of 5 and -3 repeat.
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Not a function Does not pass the vertical line test
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Quadrant info
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a b Name the quadrants a. II b. I c. III d. IV c d
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Give me the quadrants this graph is in
I, II, and IV
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Give me the quadrants that the graph is in
I, II, and III
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List all the names for x X but I am also know as? Domain Independent
X-coordinate Input Abscissa
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List all the names for y Y but I am also know as? Range Output
Y-coordinate Dependent Ordinate
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f(x)=x2+3 g(x)=x+3 g(4) Answer the following 7
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f(x)=x2+3 g(x)=x+3 f(-4) Answer the following 19
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f(x)=x2+3 g(x)=x+3 g(x)=-4 Answer the following -7
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f(x)=x2+3 g(x)=x+3 f(x)=39 Answer the following X= 6 and -6
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f(x)=x2+3 g(x)=x+3 g(f(2))= Answer the following 10
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f(x)=x2+3 g(x)=x+3 g(f(x))=31 Answer the following X= 5 and -5
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State the Domain and Range
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b
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b
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a
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b
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b
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