3.6 Transformations of Linear Functions Practice_Alg1

3.6 Transformations of Linear Functions Practice

Translations

Reflections

Stretches/Shrinks

This Quizizz is a review of Linear Transformations. Please watch the videos and add to your previous notes over 3.6 if needed. We will skip Horizontal Stretches and Shrinks.

To help you answer all of the questions in this Quizizz, you can use Desmos. Graph f(x) and graph the transformation. Check to see how the line changed to determine the type of transformation.

Multiple Choice

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

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

Multiple Choice

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

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

Multiple Choice

Describe the transformation of f(x) to g(x).

• $g\left(x\right)=f\left(x+2\right)$
  

• $g(x)=f(x-2)$
  

• $g(x)=f(x)+2$
  

• $g\left(x\right)=f\left(x\right)-2$

Multiple Choice

Describe the transformation of f(x) to g(x).

• down 1 units

• up 1 units

• right 1 units

• left 1 units

Multiple Choice

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

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

Multiple Choice

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

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

Multiple Choice

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

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

Multiple Choice

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

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

Multiple Choice

Describe the transformation of f(x) to g(x).

• $g\left(x\right)=f\left(x\right)+4$
  

• $g(x)=f(x+4)$
  

• $g(x)=f(x-4)$
  

• $g\left(x\right)=f\left(x\right)-4$

Multiple Choice

Describe the transformation of f(x) to g(x).

• down 5 units

• up 5 units

• right 5 units

• left 5 units

Multiple Choice

Which transformation on

f(x) = x

is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

Multiple Choice

Which transformation on

f(x) = x

is g(x) = f(-x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

Multiple Choice

If you reflect f(x) = 3x - 1 over the y-axis the new function would be what?

• g(x) = -3x + 1

• g(x) = 3x - 1

• g(x) = -3x - 1

• g(x) = 3x + 1

Multiple Choice

If you reflect f(x) = 3x - 1 over the x-axis the new function would be what?

• g(x) = -3x + 1

• g(x) = 3x - 1

• g(x) = -3x - 1

• g(x) = 3x + 1

Multiple Choice

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

• Vertical stretch by a factor of 2

• Vertical shrink by a factor of 1/2

• Vertical translation up by 2 units.

• Horizontal shrink by a factor of 1/2

Multiple Choice

Which transformation will occur if f(x) = x is replaced with  $\frac{1}{4}f\left(x\right)$  ?

• Vertical stretch by a factor of 4

• Vertical shrink by a factor of 1/4

• Vertical translation up by 1/4 units.

• Horizontal shrink by a factor of 1/4

Multiple Choice

The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g?

• $g\left(x\right)=f\left(x\right)+4$

• $g\left(x\right)=f\left(x\right)+5$

• $g\left(x\right)=3f\left(x\right)$

• $g\left(x\right)=\frac{1}{3}f\left(x\right)$

Multiple Choice

The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g?

• $g\left(x\right)\ =\ f\left(x\right)-6$

• $g\left(x\right)=4f\left(x\right)$
  

• $g\left(x\right)=f\left(x\right)-3$
  

• $g\left(x\right)=\frac{1}{4}f\left(x\right)$

Multiple Choice

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

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Vertical translation up by 2 units.

• Horizontal compression by a factor of 1/2