Graphing Cubic Functions Transformations

Describe the transformation of the graph y = - ½(x + 4)³ - 1

• Left 4 and Down 1

• Reflected x-axis, Down 1, Left 4, Compression by a factor of 1/2

• Reflected x-axis, Down 1, Left 4, Stretch by 2

• Reflected x-axis, Up 1, Right 4, Compression by a factor of 1/2

Tags

CCSS.HSF.BF.B.3

What transformations has the function undergone?

• reflect over y, vertical stretch by 2, right 5, up 1

• reflect over x, horizontal compression by 2, left 5, up 1

• reflect over x, vertical stretch by 2, right 5, up 1

• reflect over y, horizontal stretch by -2, right 5, up 1

Tags

CCSS.HSF.BF.B.3

Which of the following is the equation for the cubic function graphed above

Which of the following is the equation of the cubic function graphed above

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)?

• g(x) = -x³

• g(x) = x³ - 1

• g(x) = (x + 1)³

• g(x) = (x - 1)³

What is the y-intercept of the following cubic function?

• (1, 0)

• (0, 2)

• (-1, 0)

• (2, 0)

What is the equation of the graph shown?

• y= (x-2)³ + 4

• y= (x+2)³ + 4

• y = - (x-2)³ + 4

• y= - (x+2)³ + 4

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

Which point does not represent a zero of a polynomial?

• (-2, 0)

• (-1, 0)

• (0, 4)

• (2, 0)

Tags

CCSS.HSA.APR.B.3

What is the range of ALL cubic functions expressed as an inequality?

• [-∞, ∞]

• (-∞,∞)

• -∞≤y≤∞

• -∞<y< ∞

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5