Linear Transformations

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

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

• Steeper by a factor of 2

• Less Steep by a factor of 2

• Vertical translation up by 2 units.

• Horizontal translation right by 2 units.

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

Tags

CCSS.HSF.BF.B.3

Which transformation on

f(x) = x

is g(x) = -f(x)

• Steeper by a negative factor

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

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

• Up 7
• Down 7
• Left 7
• Right 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

Tags

CCSS.HSF.BF.B.3

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g is a reflection.

• Graph g shifts down 2 units.

• Graph g is steeper by a factor of 2

• Graph g is less steeper by a factor of 1/2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g is reflected and steeper by a factor of 3

• Graph g is steeper by a factor of 3

• Graph g reflected and less steep by a factor of 3

• Graph g is only reflected

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

• Steeper

• Less Steep

• up 1/4 units

• down 1/4 units

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

• Shift right by 4

• Shift left by 4

• Steeper by a factor of 4

• Less Steep by a factor of 4

• Shift down by 4