Transforming Polynomial Functions

Describe the transformation of the graph  y = -2(x + 5)³ 

• Shrink by 2, Reflected over y-axis, Right 5
• Stretch by 2, Reflected over x-axis, Left 5
• Stretch by 2, Reflected over x-axis, Right 5
• Shrink by 2, reflected over y-axis, Left 5

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph  y = -(x - 4)³ + 5

• Up 5 and Left 4 
• Reflect x-axis, Left 4, Up 5
• Reflect x-axis, Right 4, Up 5
• Right 4 and up 5

Tags

CCSS.HSF.BF.B.3

The graph shows the function f(x)=x³ in blue and another function g(x) in red.  Which could be the equation for g(x)?

• A.  g(x) = -x³
• B.  g(x) = x³ - 1
• C.  g(x) = (x + 1)³
• D.  g(x) = (x - 1)³

Tags

CCSS.HSF.BF.B.3

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

• Up 7
• Down 7
• Flipped
• Steeper

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

g(x)=-f(x)
Describe the transformation to f(x) that results in g(x).

• f(x) has been reflected over the x-axis.
• f(x) has been reflected over the y-axis.

DOMAIN?

• (-∞,∞)
• [0,∞)
• (-∞,0]
• -2, 2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the RANGE?

• (-∞,∞)
• [0,∞)
• (-∞,0]
• [-∞,∞]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the rule for the transformation of g(x) in terms of f(x)?

• f(x)=g(x)-6
• g(x)=f(x)-6
• f(x)=g(x)+6
• g(x)=f(x)+6

What is the rule for the transformation of g(x) in terms of f(x)?

• g(x)=f(x)+4
• f(x)=g(x)+4
• g(x)=f(x)-4
• f(x)=g(x)-4