Review of Transformations of Linear Functions

Parent function is red line for this review lesson.

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​Parent Function

y = x+2

Is it reflected over x axis?

Is it stretched, compressed or the same?

By what factor?

Is it shifted up, down or the same?

​How is it different?

y = 2x + 2

Is it reflected over x axis?

Is it stretched, compressed or the same?

By what factor?

Is it shifted up, down or the same?

​How is it different?

y = -2x + 2

Is it reflected over x axis?

Is it stretched, compressed or the same?

By what factor?

Is it shifted up, down or the same?

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​How is it different?

y = -x - 4

Is it reflected over x axis?

Is it stretched, compressed or the same?

By what factor?

Is it shifted up, down or the same?

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​How is it different?

y = x + 5

Is it reflected over x axis?

Is it stretched, compressed or the same?

By what factor?

Is it shifted up, down or the same?

​

​How is it different?

y = 1/2 x - 3

Is it reflected over x axis?

Is it stretched, compressed or the same?

By what factor?

Is it shifted up, down or the same?

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​How is it different?

y = -1/3 x + 1

Is it reflected over x axis?

Is it stretched, compressed or the same?

By what factor?

Is it shifted up, down or the same?

​

​How is it different?

Multiple Choice

What is the linear parent function?

• y = x

• y = mx + b

• f(x) = 2x

• Not here

Multiple Choice

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

Multiple Choice

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g. g(x) = -x

• Graph g is a reflection. over the x axis

• Graph g shifts down 2 units.

• Graph g is stretched by a factor of 2

• Graph g is compressed by a factor of 1/2

Multiple Choice

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g. g(x) = -3x

• Graph g is reflected over the x axis and stretched by a factor of 3

• Graph g is stretched by a factor of 3

• Graph g reflected over the x axis and compressed by a factor of 3

• Graph g reflected and stretched by a factor of 3

Multiple Choice

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g. g(x) = 1/5 x

• Graph g is compressed by a factor of 1/5

• Graph g shifted down 1 unit

• Graph g is stretched by a factor of 1/5

• Graph g shifted up 2 units

Multiple Choice

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g. g(x) = x - 4

• Graph g shifted down 3 units

• Graph g shifted down 4 units

• Graph g shifted up 4 units

• Graph g reflected over the x axis

Multiple Choice

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g. g(x) = x + 6

• Graph g shifted down 6 units

• Graph g is stretched by a factor of 7

• Graph g is compressed by a factor of 1/3

• Graph g shifted up 6 units

Multiple Choice

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g. g(x) = -2x + 3

• Graph g reflected over the x axis

• Graph g is stretched by a factor of 2

• Graph g is stretched by a factor of 2 and it reflected over the x axis

• Graph g is stretched by a factor of 2, it reflected over the x axis, and it shifted up 3 units

Multiple Choice

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g. g(x) = -x - 2

• Graph g reflected over the x axis

• Graph g shifted up 2 units

• Graph g reflected over the x axis and shifted down 2 units.

• Graph g reflected over the x axis and shifted up 2 units