Identify the transformations.

horizontal shift to the right 2 and vertical stretch by a factor of 3

horizontal shift to the left 2 and vertical stretch by a factor of 3

horizontal shift to the right 2 and vertical shrink by a factor of 3

horizontal shift to the left 2 and vertical shrink by a factor of 3

Which transformation maps the graph of f(x) = x 2 to the graph of g(x) = (x + 4) 2 ?

a translation shifting f(x) 4 units to the left

a translation shifting f(x) 4 units up

a translation shifting f(x) 4 units down

a translation shifting f(x) 4 units to the right

How did we transform from f(x) =x 2 to g(x) = -3x 2

reflection x-axis and vertical stretch

reflection in x-axis and vertical shift down

reflection x-axis and vertical compression

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

horizontal shift left and vertical shift down

horizontal shift down and vertical shift left

horizontal shift right and vertical shift up

horizontal shift up and vertical shift right

What are the transformations? y=3(x-4) 2 ?

horizontal shift right 4, narrower by a factor of 3

horizontal shift left 4, narrower by a factor of 3

horizontal shift right 4, wider by a factor of 1/3

horizontal shift right 4, vertical shift up 3

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

Vertical translation up by 2 units.

What transformations has the function undergone?

reflect over x, vertical stretch by 2, right 5, up 1

reflect over y, vertical compress by 2, right 5, up 1

reflect over x, horizontal compression by 2, left 5, up 1

reflect over y, horizontal stretch by -2, right 5, up 1

Identify the transformations to the step function:

x-axis reflection; stretch of 2; right 2; down 2

x-axis reflection; stretch of 2; left 2; down 2

x-axis reflection; shrink of 2; left 2; up 2

Parent Functions and Transformations

Authored by Karah Kornoelje

Mathematics

10th - 12th Grade

CCSS covered

Used 1+ times

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MULTIPLE CHOICE QUESTION

20 sec • 1 pt

What is the equation of the quadratic parent function?

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

What is the equation of the absolute value parent function?

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation of the square root parent function?

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

What is the equation of the cubic parent function?

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Which parent function matches the graph?

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

What type of function is shown?

Linear

Quadratic

Square Root

Absolute Value

Tags

CCSS.HSA.REI.D.10

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Name the parent function.

Linear

Quadratic

Cubic

Logarithmic

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.REI.B.4

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Parent Functions and Transformations

What is the equation of the quadratic parent function?

What is the equation of the absolute value parent function?

What is the equation of the square root parent function?

What is the equation of the cubic parent function?

Which parent function matches the graph?

What type of function is shown?

Name the parent function.

What is the equation of the PARENT function?

What type of function is shown?

What type of function is shown?

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