Transformations of Polynomials

Which way does the graph move if the equation looks like y = (x - 3)² ?

• Graph moves UP 3 units

• Graph moves to the RIGHT 3 units

• Graph moves DOWN 3 units

• Graph moves to the LEFT 3 units

Describe the horizontal shift for

y = 3(x + 4)² - 1

• shifts 3 left

• shifts 4 left

• shifts 4 right

• shifts 1 left

What happens to the parabola when you multiply its equation by a number bigger than 1?  Eg  y = 3x²

• Graph moves UP

• Graph gets WIDER

• Graph moves DOWN

• Graph gets NARROWER

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)²

• shifted up five units

  reflection in x-axis

• shifted down five units

  reflection in x-axis

• shifted left 5 units

  reflection x-axis

• shifted right 5 units

  reflection x-axis

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

• Right 3

• Left 3

• Up 3

• Horizontal Compression of 1/6

• Vertical Stretch of 6

Tags

CCSS.HSF.BF.B.3

• Right 3

• Down 3

• Up 3

• Horizontal Compression of 1/6

• Vertical Stretch of 6

Tags

CCSS.HSF.BF.B.3

Tags

CCSS.HSF.BF.B.3

Given f\left(x\right)=6x^4-5x^3+2x-1 To find g\left(x\right), reflect f\left(x\right) over the y-axis and vertically stretch by 6 Which of the following is the rules describes this?