Functions Transformation

Which of these equations shifts a radical equation right 1 time and up 2 times?

• y = √(x + 1) - 2 

• y = √(x - 1) + 2

• y = √(x - 2) + 1

• y = √(x + 2) - 1

Tags

CCSS.HSF-IF.C.7B

y = 2 √(x) - 4 y = - √(x - 4) y = 2 √(x) y = 2 √(x) + 4

• y = 2 √(x) - 4

• y = - √(x - 4)

• y = 2 √(x)

• y = 2 √(x) + 4

Tags

CCSS.HSF-IF.C.7B

Match the correct equation with the given graph.

• y = - √(x + 1)

• y = √(x + 1)

• y = - √(x) - 1

• y = - √(x) + 1

Tags

CCSS.HSF-IF.C.7B

Name the parent function.

• cube root

• quadratic

• cubic

• square root

What is the range of this graph?

• y ≥ -1

• y ≤ -1

• y ≥ 0

• y ≤ 0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the function in this graph?

• y ≤ 3

• y ≥ 3

• y ≤ 0

• y ≥ 0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which of the facts is not true about the graph shown?

• The range is all real numbers.

• The function has been shifted 6 units right.

• The function has been shifted up 1 unit

• The function has been vertically stretched by a factor of 2.

Tags

CCSS.HSF-IF.C.7B

What transformations have occurred to get from the parent function f(x) to the transformed function g(x)?

• reflection over the x-axis,vertical shrink by a factor of -5

• reflection over the x-axis,vertical shrink by a factor of 1/5

• reflection over the x-axis,vertical stretch by a factor of 5

• reflection over the y-axis,vertical stretch by a factor of 5

Tags

CCSS.HSF.BF.B.3

• Horizontal stretch by 7, up 2

• Horizontal shrink by 1/7, up 2

• Vertical stretch by 7, up 2

• Vertical shrink by 1/7, left 2

Tags

CCSS.HSF.BF.B.3

• Vertical stretch by 3, reflection in x-axis

• Horizontal stretch by 3, reflection in x-axis

• Horizontal shrink by 1/3, reflection in y-axis

• Vertical stretch by 3, reflection in y-axis

Tags

CCSS.HSF.BF.B.3