Transformations Graphs Algebra 2

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 

• Left 4

• Right 4

• Up 4

• Down 4

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

If the graph of the parent function is shifted 7 units up and is steeper than the parent function, which of these could represent the function?

• f(x) = 7x + 3

• f(x) = x + 7

• f(x) = 3/2x + 7

• f(x) = 2/3x + 7

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

Given the graph above, which equation shifts line down 5 units?

• y = 4x - 1

• y = 2x - 6

• y = 4x - 6

• y = 2x - 1

• Steeper

• Less Steep

• Shifted up 5 units

• Shifted down 5 units

Compare the function

• Vertical Translation Up 1/3 units

• Vertical Translation Down 1/3 units

• Vertical Stretch by a factor of 1/3

• Vertical Compression by a factor of 1/3

• Reflection over the x-axis

Compare the function \(w\left(x\right)=\frac{3}{2}x\) to the parent function\(f\left(x\right)=x\)

• Vertical Translation Up 3/2 units

• Vertical Translation Down 3/2 units

• Vertical Stretch by a factor of 3/2

• Vertical Compression by a factor of 3/2

• Reflection over the x-axis

Match the following

• The line shifted 3 units to the left.

• f(x+3)

• The line shifted 6 units down.

• f(x-6)

• The line shifted 3 units up.

• f(x)+3

• The line shifted 6 units to the left.

• f(x)-6

• The line shifted 6 units to the right.

• f(x+6)

• Function 2's graph is shifted down 8 units from Function 1's graph.

• Function 2's graph is shifted up 8 units from Function 1's graph.

• Function 2's graph is shifted left 8 units from Function 1's graph.

• Function 2's graph is shifted right 8 units from Function 1's graph.