Objectives To recognize graphs and relationships between graphs

Objectives: To recognize graphs and relationships between graphs of special functions. To graph transformations of any parent function. (quadratic) (absolute value) Looks like: _________ a “U” Looks like: __________ a “V” Draw the inverse of each of the functions above on the same graph. Find the equation of inverse for: ______________ Solve for y: _______ square root So the inverse of a quadratic is a ______. Other types of functions you should now recognize: constant piecewise step radical linear identity polynomial functions linear and ______) quadratic (also ____

To Graph: left 3, down 4, multiply y’s by -1 Steps: 1. Describe the transformation. over up 0 2. Make a table for the parent function. 1 3. Multiply the values in the second column of the table by the leading coefficient. -1 -1 -2 -4 -1/2 -1/4 4. Plot the points for the transformed parent graph, and the asymptote, and connect with a dashed curve. 5. Shift the points as necessary, as described in step (1), and connect with a solid curve. 2 -2 right 1, up 2 up over 0 1 (½) 1 2 (½) 2 4 (½) -1 1/2 (½) -2 1/4 (½) 3 8 (½) 4 16 (½) Calculator Note: “log” means “log base 10” “ln” means “natural log” and has base e