3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical...

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3.5-2 – Writing New Functions

Transcript of 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical...

Page 1: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.

3.5-2 – Writing New Functions

Page 2: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.

• Recall…• We can transform a basic parent function by:– Vertical Shift– Horizontal Shift– Reflection– Stretch/Compress

Page 3: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.

• Knowing the information for transformations, we can write new equations to show a desired transformation

Page 4: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.

• Example. Using the function f(x) = x2, move the function 4 units left and 2 units down.– What kind of transformations?– How do we show these transformations?

Page 5: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.

• Example. Using the function f(x) = |x|, move the function 6 units up and reflect over the x-axis.

Page 6: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.

• Example. Using the function f(x) = x4, move the function 3 units left, 2 units up, and reflect over the y-axis.

Page 7: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.

• Now, with your neighbors, write 2 new functions based on the reflections and other transformations we have learned. Then, exchange with a neighbor.

Page 8: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.

• Assignment• Pg. 257• 24-33, all (really)

Page 9: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.

• Please check the solutions in the back of your textbook. If you do not have your textbook, please get near someone who does.

Page 10: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.