M2 A 2.6

Which of the graphs could represent the graph of y = − (x − 3)² ?

• Graph A

• Graph B

• Graph C

• Graph D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up
• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Vertical Compression by a factor of 2
• Vertical Stretch by a factor of 2
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

Which transformation will occur if f(x) = x² is replaced with 1/2⋅f(x)?

• Vertical Compression by a factor of 1/2
• Vertical Stretch by a factor of 1/2
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

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

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = f(x) - 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = - f(x)

• The graph of y = f(x) was flipped vertically across the x axis. 
• The graph of y = f(x) was flipped horizontally across the y axis.
• The graph of y = f(x) was shifted down.
• The graph of y = f(x) was shifted up

Tags

CCSS.HSF.BF.B.3

Select ALL correct ordered pairs after a reflection across the x axis.

• K' (1 , 1)

• K' (-1,-1)

• N' (4 , 0)

• N' (-4 , 0)

• Q' ( 4 , 4)

If you reflect point (-2,7) over the x-axis, what is its image point?

• (2,7)

• (2,-7)

• (-2,-7)

• (7,-2)

If you reflect point (-2,7) over the y-axis, what is its image point?

• (2,7)

• (2,-7)

• (-2,-7)

• (7,-2)