2.7 Absolute Value Functions and Transformations, Exercises of Algebra

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I planted a tomato plant 7 weeks ago and measured its height each week. Find the equation that represents its height as a function of time. Week 0 1 2 3 4 5 6 7 Height (in) 4.5 6.75 8.5 12.25 15.5 19 24 28.

Advanced Algebra

2.7 Absolute Value Functions and Transformations Chapter 2 Test Friday

Absolute Values Function and Transformations

Transformations – Change the graphs size, shape, position or orientation. Translations – A transformation that shifts the graph horizontally or vertically, but does not change its size, shape or orientation.

Absolute Values Function and Transformations The “Parent Function” of the absolute value function is- 𝑓 𝑥 = 𝑥 𝑓 0 =? 𝑓 2 =? 𝑓 − 2 =? Vertex On your calculator, set the window to min’s and max’s of ±10. Click y= and then click math, scroll over to CMPLX and down to 5: abs( and press enter. Graph the function 𝑓(𝑥) = 𝑥

Horizontal Shifts

General form of the absolute value equation Horizontal Shift Vertical Shift

What if we multiply the absolute value by a

number. How does it effect the shape of the

graph?

Graph the functions and compare the graph

with the function 𝑓 𝑥 = 𝑥

Homework

1 – 39 odd