Cubics

Determine the y-intercept
f(x) = x³- 5x²- 25x + 125

• (0,0)

• (0,25)

• (0,125)

• (0,5)

Tags

CCSS.HSF-IF.C.7C

What is the degree?

• Linear

• Quadratic

• Cubic

• Quintic

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

Tags

CCSS.HSF.BF.B.3

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

Find p(-2) for p(x) = 4x³+3x²-x+5

• 51

• -17

• -13

• -37

Tags

CCSS.HSF.IF.A.2

Fully factorise x³-2x²-5x+6

• (x-1)(x-3)(x+2)

• (x-1)(x+3)(x+2)

• (x+1)(x-3)(x-2)

• (x-1)(x-6)(x+1)

What is the leading coefficient?

• Positive 

• Negative

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 = - ½(x + 4)³ - 1

• Left 4 and Down 1

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

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

• Reflected x-axis, Up 1, Right 4, Shrink by 1/2

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph  y = (x)³  + 6

• Right 6

• Left 6

• Up 6

• Down 6

Tags

CCSS.HSF.BF.B.3