# Functions

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The function y = x becomes y= -2(3x+2)-5. Describe the order in which the transformations would take place.

1. The function is stretched vertically by a factor of 2
2. The function is compressed horizontally by a factor of 1/3
3. The graph is reflected into the x-axis
4. The graph translates 2 units to the left
5. The graph translates downwards 5 units

Is that correct?

• Functions -

The function is stretched vertically by a factor of 2

The function is compressed horizontally by a factor of 1/3

The graph is reflected into the x-axis

The graph translates 2 units to the left

The graph translates downwards 5 units

IS THAT CORRECT?

• Functions -

The function is compressed horizontally by a factor of 1/3 (or stretched vertically by 3)
y = 3 x

Translates 2 units up
y = 3x+2

reflects over x axis
y = -(3x+2)

stretch vertically by 2
y = -2(3x+2)

down 5

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