Warm up: ON GRAPH PAPER draw all 8 parent functions accurately! Do NOT use your function book! Be sure to use the critical points from the T-charts. constant, identity, quadratic, cubic, square root, absolute value, reciprocal, GIF Label each graph with the correct equation and name.

Go over quiz #2 RECORD GRADE ON ASSIGNMENT SHEET.

1) f(x) = |x – 4| 2) f(x) = |x + 4| Shifts 4 right Shifts 4 left INSIDE the function moves R or L In the opposite direction of the sign.

3) f(x) = x ) f(x) = x Shifts 3 up Shifts 3 down OUTSIDE of the function moves up or down.

5) f(x) = 6) f(x) = Reflect over x-axisReflect over y-axis Changes the y value to it’s opposite Changes the x value to it’s opposite

7) f(x) = (3x) 2 8) f(x) = 3(x) 2 Multiply x’s by 1/3 Multiply y’s by 3 (1,1) become (1/3, 1) (1,1) become (1, 3)

1)horizontal shift left 4 2)compress x’s by ½ 3)reflection across y-axis 4)stretch y’s by 3 5)reflection over x-axis 6)vertical shift 5 up f(x) = - 3 |-2x + 4| + 5 HORIZONTAL FIRST – VERTICAL LAST

Decide what is “inside” the function and what is “outside” of the function. Do #1 and #2: Use CORRECT order!

For simple transformations you can visualize the parent function, then imagine where it will go.

* For graphs with more than one transformation follow these steps: a) Start with a T-chart of the parent function. b) Write in words the transformations IN THE CORRECT ORDER! c) Change the “x” or “y” value in the chart according what you wrote down. d) Graph all of the “new” points.

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* MATCHING PLEASE

* Homework: * WS 1-5