Algebra Functions and Transformations

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

Does the graph of this equation open up or down? f(x) = -(x + 3)² - 5

• up

• down

What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the x-axis

• Shifted right 2, shifted up 3, and reflected over the x-axis

Describe the transformations for the following function h(x)=2(x-3)^2+5 from the parent function g(x)=x^2

• vertical stretch times 2

• horizontal stretch times 2

• shift left 3 units

• shift up 5 units

• shift right 3 units

Which of the following square root curves have translated left 7?

What is the range of the function?

• [-7, infinity)

• (7, infinity)

• [0, -infinity)

• [3, infinity)

Over what interval is the function increasing?

• [3, infinity)

• (-3, infinity)

• [-3, infinity)

• (3, infinity)

What best describes the transformation shown in t(x)?

• Vertical Stretch with k = 5

• Vertical Compression with k = (1/5)

• Horizontal Compression with k = (1/5)

• Horizontal Stretch with k = 5

Parent function, f(x) = x². Write the equation that would produce the transformed function, h(x), when the parent function is translated three units left, vertically compressed with a scale factor of one-third, and vertically translated down one unit.

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The parent function of a graph, f(x), is the square root of x. Which function below represents f(x) undergoing a horizontal stretch with a scale factor of three and a vertical translation up two units.

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