linear transformations 1

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

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 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

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 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 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.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

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

g(x) = 1/2f(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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?

• The graph of f is shifted 12 units to the right to create the graph of g.

• The graph of f is shifted 12 units down to create the graph of g.

• The graph of f is shifted 12 units up to create the graph of g.

• The graph of f is shifted 12 units to the left to create the graph of g.

Tags

CCSS.HSF.BF.B.3

What is the equation for the parent linear function?

• y = 2x

• y = x

• y = ¼x

• y = x²

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Describe the transformation from the parent function.

• Flatter/Vertical compress

• Steeper/Vertical stretch

• Shift up 2 units

• Shift down 2 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

Describe the transformation from the parent function.

• Flatter/Vertical compress

• Steeper/Vertical stretch

• Shift up 3 units

• Shift down 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

Chris has $100 in his savings account and he adds $20 a month to the account.
The total amount can be represented by the linear function T = 20x + 100. His goal is to have a total of $300 in four more months.
What should he change in the function to reach this goal?

• A) Change the amount he adds each month to $50.
• B)Change the amount he adds each month to $40.
• C)Change the y-intercept of the linear function to $20.
• D)Change the y-intercept of the linear function to $50.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2