Lesson 3.2: Transforming R adical, Sinusoidal, Exponential,and Rational Function

Question

Lesson 3.2: Transforming R adical, Sinusoidal, Exponential,and Rational Functions w Explore Your Understanding Assignment 3.2 This assignment includes 20 marks. You are expected to complete 17 marks worth of work if you complete more than this, all completed questions will be used to assign a grade. For example, if you complete all 20 marks worth of work, your assignment total will be 20 also complete a question and label it "DO NOT MARK if you are not confident in your work marker will then give feedback on your response, which instead of 17. You can Your will help clariy any misconceptions, but not count it towards your required mark total. Please contact your teacher f you have any questions. 1. The graph of the function y a/br-h)+k is shown. a. Determine the equation of this function if it was produced from yx using a vertical stretch and not a horizontal stretch.

Explanation / Answer

y = a sqrt ( b (x-h) ) + k

the function is reflected about the x axis

shifted 2 units to the left

and 3 units upwards

vertical stretch by a factor of 4

so the function becomes

y = -4 sqrt ( x+ 2) + 3

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