CA_GPS_17

# CA_GPS_17 - COLLEGE ALGEBRA NAME GPS 17 Class Time Date 2.4...

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Rev. S08 http://faculty.valenciacc.edu/ashaw/ COLLEGE ALGEBRA NAME: ________________________________ GPS # 17 2.4 TRANSFORMATIONS OF GRAPHS AND SYMMETRY II Class Time: ____________ Date: __________ Useful Techniques: * Vertical shifts: k x f y + = ) ( (shift up by k units) , k x f y ! = ) ( (shift down by k units), 0 > k . * Horizontal shifts: ) ( h x f y + = (shift left by h units) , ) ( h x f y ! = (shift right by h units), 0 > h . * Reflection about the x -axis: ) ( x f y ! = . * Reflection about the y -axis: ) ( x f y ! = . * Compressing or stretching: For 0 ), ( > = a x af y (stretch vertically if 1 > a and compress vertically if 1 0 < < a ).
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