A-5.1 Transformations of Linear Functions

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

• The graph of g is a vertical translation 2 units up of the graph of f
• The graph of f is a horizontal translation two units left of g
• The graph of g is a vertical stretch by a factor of 2 of the graph of f
• The graph of g is a reflection of the graph of f

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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

How did the equation shift from the parent function?

y = f(x) + c

• Shifted up "c" units

• Shifted down "c" units

• Stretches vertically

• Shifted right "c" units

Tags

CCSS.HSF.BF.B.3

How did the equation shift from the parent function? y = |x - 4|

• Shift right by 4

• Shift left by 4

• Horizontal Stretch by 4

• Vertical Stretch by 4

• Shift down by 4

How did the equation f(x) = x change if

g(x) = 1/2|x| + 11

• Vertical stretch and shift up 11

• Horizontal shrink and shift down 11

• Vertical shrink and shift up 11

• Horizontal stretch and shift down 11

How did the equation shift from the parent function? y = -3|x| + 5

• Reflection over x-axis, steeper, up 5

• Reflection over y-axis, less steep, right 5

• Steeper, left 5

• reflection over x-axis, less steep, up 5

How did the equation shift from the parent function? y = |x + 7|

• Up 7

• Down 7

• Left 7

• Right 7

Which equation transforms f(x) = |x| to a horizontal stretch by a factor of 2, a reflection over the x axis, and a shift down 4?

• |-2x - 4|

• |1/2x| - 4

• -|2x| - 4

• -|1/2x| - 4

How did the equation shift from the parent function? y=(x)+2

• Shift up 2

• Shift down 2

• steeper

• flipped

Is this function linear or non linear?

• Linear
• Non Linear

Tags

CCSS.8.F.A.3