Describe Function Graph

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch by 2, and shifted right 5

• Reflected over the x-axis, vertical stretch by 2, and shifted left 5

• Shifted right 5, shifted down 2

Describe the transformation.

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis

What is the domain of the function in this graph?

• x ≤ 3

• x ≥ 3

• x ≤ 0

• x ≥ 0

What is the range of the function in this graph?

• y ≤ 3

• y ≥ 3

• y ≤ 0

• y ≥ 0

Sketch the graph of each function. y = (√x) - 5

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Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 2 units up of the graph of f

• The graph of f is a horizontal translation two units left of g

• The graph of g is a vertical stretch by a factor of 2 of the graph of f

• The graph of g is a reflection of the graph of f

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 4 units up from the graph f

• The graph of g is a horizontal translation of the graph of f, 4 units right

• The graph of g is a horizontal translation of the graph of f, 4 units left

• The graph of g is a vertical stretch of the graph of f, by a factor of 7

Describe how the graph g(x) compares with f(x).

• Up 7

• Down 7

• Left 7

• Right 7

Describe how the graph g(x) compares with f(x).

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

Describe the transformation

f(-x)

• reflect over the x-axis

• shift up

• shift down

• reflect over the y-axis