What transformations was not done to the linear parent function, f (x) = x to get the function g (x) = -1/3 (x-7) + 2?

Question

Mathematics

Simeon Bradshaw

10 May, 08:59

What transformations was not done to the linear parent function, f (x) = x to get the function g (x) = -1/3 (x-7) + 2?

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Answers (1)

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Nikolas Doyle · Answer 1

Step-by-step explanation:

Consider that by changing the the variable x with x-c represents a horizontal shift of c units. If c>0 then it is a right shift and it is a left shift otherwise. When we multiply the variable by a number d (i. e dx) we are applying an horizontal compression/stretching. If d>1 it compresses it, and if 0
original function x.

1. (x-7) : horizontal shift of 7 units to the right.

2. 1/3 (x-7) : Horizontal stretching by factor 1/3.

3.-1/3 (x-7) : Reflection with respect the x-axis

4.-1/3 (x-7) + 2: Vertical shift of two units up.