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Graphing Form
Name:____________
Date:
Wells Worksheet (W2)
Block:
Describe the Significance of the Following:
(h,k): _______________________
The value of a
Positive: ____________________
If it Increases: _________________
Negative: ____________________
If it Decreases: ________________
Write the general equation in graphing form for each and fill in every blank on the following pages:
Quadratic
Cubic
Hyperbola
Square Root
Exponential
Linear
Point:
Absolute Value
Slope:
Circle
Center:
Logarithmic
Radius:
Graphing Form
Quadratic Parent Equation: ____________________
Make a table and graph of the parent function:
Name:____________
Description of a Transformation:
The parent graph is shifted 4 units to the
right.
New Equation: ___________________________
Sketch of the graph after the transformation:
Domain: ______________
Range: ______________
x-intercept(s): __________
y-intercept(s): __________
Asymptote(s): __________________________________
Cubic Parent Equation: ____________________
Description of the Transformation:
Make a table and graph of the parent function:
New Equation: y  x3  1
Sketch of the graph after the transformation:
Domain: ______________
Range: ______________
x-intercept(s): __________
y-intercept(s): __________
Asymptote(s): __________________________________
Graphing Form
Hyperbola Parent Equation: ____________________
Name:____________
Description of the Transformation:
Make a table and graph of the parent function:
New Equation: ___________________________
Sketch of the graph after the transformation:
7
6
5
4
3
2
1
-5 -4 -3 -2 -1
Domain: ______________
Range: ______________
x-intercept(s): __________
y-intercept(s): __________
Asymptote(s): __________________________________
Square Root Parent Equation: ____________________
-1
-2
-3
-4
-5
-6
-7
1
2
3
4
5
Description of the Transformation:
Make a table and graph of the parent function:
New Equation: ___________________________
Sketch of the graph after the transformation:
7
6
5
4
3
2
1
-5 -4 -3 -2 -1
Domain: ______________
Range: ______________
x-intercept(s): __________
y-intercept(s): __________
Asymptote(s): __________________________________
-1
-2
-3
-4
-5
-6
-7
1
2
3
4
5
Graphing Form
Exponential Parent Equation: ____________________
Name:____________
Description of the Transformation:
Make a table and graph of the parent function:
New Equation: y  2 x 3  5
Sketch of the graph after the transformation:
Domain: ______________
Range: ______________
x-intercept(s): __________
y-intercept(s): __________
Asymptote(s): __________________________________
Linear Parent Equation: ____________________
Make a table and graph of the parent function:
Description of a Transformation:
Change the Slope of the parent graph to 3 and
the line contains (-1,-4)
New Equation: ___________________________
Sketch of the graph after the transformation:
Domain: ______________
Range: ______________
x-intercept(s): __________
y-intercept(s): __________
Asymptote(s): __________________________________
Graphing Form
Name:____________
Absolute Value Parent Equation: ___________________ Description of the Transformation:
Make a table and graph of the parent function:
New Equation: y  x  2  3
Sketch of the graph after the transformation:
Domain: ______________
Range: ______________
x-intercept(s): __________
y-intercept(s): __________
Asymptote(s): __________________________________
Circle Parent Equation: x 2  y 2  9
Description of the Transformation:
Make a table and graph of the parent function:
New Equation: ___________________________
Sketch of the graph after the transformation:
Domain: ______________
Range: ______________
x-intercept(s): __________
y-intercept(s): __________
Asymptote(s): __________________________________
Graphing Form
Logarithm Parent Equation: ____________________
Make a table and graph of the parent function:
Name:____________
Description of the Transformation:
The parent graph is flipped and shifted 2 units
to the left and 1 unit up.
New Equation:
Sketch of the graph after the transformation:
Domain: ______________
Range: ______________
x-intercept(s): __________
y-intercept(s): __________
Asymptote(s): __________________________________