What is the effect of adding a positive constant $$k$$ to the function $$f(x)$$ , resulting in $$f(x) + k$$ ?

Vertical shift up by $$k$$ units

Vertical shift down by $$k$$ units

Horizontal shift left by $$k$$ units

Horizontal shift right by $$k$$ units

What is the effect of adding a positive constant $$h$$ to the function $$f(x)$$ , resulting in $$f\left(x-h\right)$$ ?

Horizontal shift right by $$h$$ units

Vertical shift up by $$a$$ units

Vertical shift down by $$h$$ units

Horizontal shift left by $$h$$ units

If $$f(x)=3x$$ , what is the transformation of $$f(x)=3(x-2)+5$$ ?

Shifted right by 2 units and up by 5 units

Shifted left by 2 units and up by 5 units

Shifted right by 2 units and down by 5 units

Shifted left by 2 units and down by 5 units

What is the transformation of the function $$f(x)=x$$ to $$f(x)=\left(x+6\right)-3$$ ?

Shifted left by 6 units and down by 3 units

Shifted right by 6 units and up by 3 units

Shifted left by 6 units and up by 3 units

Shifted right by 6 units and down by 3 units

How does the graph of $$g(x) = \frac{1}{2}f(x)$$ compare to the graph of $$f(x)$$ ?

Compressed vertically by a factor of 1/2

Stretched vertically by a factor of 1/2

Stretched horizontally by a factor of 1/2

Compressed horizontally by a factor of 1/2

Identify the transformation of the function $$f(x)=\frac{1}{2}x$$ to $$f(x)=\frac{1}{2}\left(x+2\right)-4$$ .

Shifted left by 2 units and down by 4 units

Shifted right by 2 units and up by 4 units

Shifted left by 2 units and up by 4 units

Shifted right by 2 units and down by 4 units

What is the transformation of the function $$f(x)=x+5$$ to $$f\left(2x\right)$$ ?

Horizontal compression by a factor of 1/2

Horizontal stretch by a factor of 2

Vertical stretch by a factor of 2

Vertical compression by a factor of 1/2

If $$f(x)=x$$ , what is the transformation of $$f(x)=3\left(x-2\right)+1$$ ?

vertical stretch by 3, right $$2$$ , and up 1

Vertical Compression by 1/3, left $$2$$ , and down1

Horizontal Stretch 3, left $$2$$ , and up 1

Horizontal Compression by 1/3, right $$2$$ , and down 1

Exploring Linear Transformations

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Easy

Marika Rosenberger

Used 4+ times

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Vertical stretch

Vertical compression

Horizontal stretch

Horizontal compression

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Vertical stretch

Vertical compression

Horizontal stretch

Horizontal compression

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Shifted left by 3 units

Shifted right by 3 units

Shifted up by 3 units

Shifted down by 3 units

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Shifted left by 4 units

Shifted right by 4 units

Shifted up by 4 units

Shifted down by 4 units

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Stretched vertically by a factor of 2

Compressed vertically by a factor of 2

Stretched horizontally by a factor of 2

Compressed horizontally by a factor of 2

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