Transformations of Functions (Alg 1)

What is the transformation?

• 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

What is the transformation?

• The graph of g is a vertical translation 4 units up from the graph f
• The graph of g is a horizontal translation of the graph of f, 4 units right
• The graph of g is a horizontal translation of the graph of f, 4 units left
• The graph of g is a vertical stretch of the graph of f, by a factor of 7

Which transformation is 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

Which transformation is 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

Which transformation is -f(x)

• Reflection across the y-axis

• Vertical shrink

• The graph will be wider

• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

How did the equation transform

y = f(x) + c

• Shifted up "c" units

• Shifted down "c" units

• Stretches vertically

• Shifted right "c" units

What is the transformation? y = f(x - 4)

• Shift right by 4

• Shift left by 4

• Horizontal Stretch by 4

• Vertical Stretch by 4

• Shift down by 4

Tags

CCSS.HSF.BF.B.3

What is the transformation? y = 1/2f(x) + 11

• Vertical stretch of 1/2 and shift up 11

• Horizontal shrink of 1/2 and shift down 11

• Vertical shrink of 1/2 and shift up 11

• Horizontal stretch of 1/2 and shift down 11

What is the transformation? y = -3f(x) + 5

• Reflection over x-axis, vertical stretch, up 5

• Reflection over y-axis, vertical shrink, right 5

• vertical stretch, left 5

• reflection over x-axis, vertical shrink, up 5

What is the transformation? y = 4f(x - 3)

• Vertical stretch and right 3

• Vertical shrink and down 3

• Vertical stretch and left 3

• Down

Tags

CCSS.HSF.BF.B.3