Quiz about Linear Transformations

Question 1

The linear parent function, f(x) = x, is transformed to g(x) = f(x - 3). Describe the transformation.

Accepted Answer

g(x) is shifted right 3 units

Answer

g(x) is shifted up 3 units

Answer

g(x) is shifted down 3 units

Answer

g(x) is shifted left 3 units

Question 2

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 3). Describe the transformation.

Accepted Answer

g(x) is shifted left 3 units

Answer

g(x) is shifted up 3 units

Answer

g(x) is shifted down 3 units

Answer

g(x) is shifted right 3 units

Question 3

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

Accepted Answer

g(x) is shifted up 3 units

Answer

g(x) is shifted down 3 units

Answer

g(x) is shifted left 3 units

Answer

g(x) is shifted right 3 units

Question 4

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 3. Describe the transformation.

Accepted Answer

g(x) is shifted down 3 units

Answer

g(x) is shifted up 3 units

Answer

g(x) is shifted left 3 units

Answer

g(x) is shifted right 3 units

Question 5

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

Accepted Answer

g(x) is shifted down 6 units

Answer

g(x) is shifted up 6 units

Answer

g(x) is shifted left 6 units

Answer

g(x) is shifted right 6 units

Question 6

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 6. Describe the transformation.

Accepted Answer

g(x) is shifted up 6 units

Answer

g(x) is shifted down 6 units

Answer

g(x) is shifted left 6 units

Answer

g(x) is shifted right 6 units

Question 7

The linear parent function, f(x) = x, is transformed to g(x) = f(x - 6). Describe the transformation.

Accepted Answer

g(x) is shifted right 6 units

Answer

g(x) is shifted up 6 units

Answer

g(x) is shifted down 6 units

Answer

g(x) is shifted left 6 units

Question 8

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 6). Describe the transformation.

Accepted Answer

g(x) is shifted left 6 units

Answer

g(x) is shifted up 6 units

Answer

g(x) is shifted down 6 units

Answer

g(x) is shifted right 6 units

Question 9

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 6). Does this result in a horizontal or vertical translation?

Accepted Answer

horizontal

Answer

vertical

Question 10

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 7. Does this result in a horizontal or vertical translation?

Accepted Answer

vertical

Answer

horizontal

Question 11

What is the parent function

of linear functions?

Accepted Answer

f(x) = x

Answer

y = 2x

Answer

y = mx + b

Answer

Not here

Question 12

What is a translation of a linear function?

Accepted Answer

a vertical shift

Answer

a rotation

Answer

a flip

Answer

reflection

Question 13

How did the equation shift from the parent function? y = f(x) + d

Accepted Answer

Shifted up "d" units

Answer

Shifted down "d" units

Answer

Stretches vertically

Answer

Stretches horizontally

Question 14

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

Accepted Answer

Vertical translation up by 2 units.

Answer

Translation left 2 units

Answer

Translation right 2 units

Answer

Reflection across the x-axis.

Question 15

How did the equation shift from the parent function? y = f(x - 4)

Accepted Answer

Shift right by 4

Answer

Shift left by 4

Answer

Horizontal Stretch by 4

Answer

Vertical Stretch by 4

Question 16

How did the equation shift from the parent function? y = f(x + 7)

Accepted Answer

Left 7

Answer

Up 7

Answer

Down 7

Answer

Right 7

Question 17

The parent function is translated down 2 units.

Accepted Answer

f(x) - 2

Answer

-2f(x)

Answer

f(x) + 2

Answer

f(x - 2)

Question 18

How did the equation shift from the parent function? f(x)=(x-3)+5

Accepted Answer

3 right, 5 up

Answer

3 left, 5 up

Answer

3 Down

Answer

Moved 5 right

Question 19

This is the parent function f(x). If the line, g(x), is translated 3 units up, what would the equation of the line be?

Accepted Answer

f(x) + 3

Answer

f(x) - 3

Answer

3f(x)

Answer

-3f(x)

Question 20

This line is known as f(x) and what else?

Accepted Answer

parent function

Answer

grandma function

Answer

grandpa function

Answer

baby function

Linear Transformations

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