Transformation Quiz

What are the transformations?
y=(x-2)³+4

• Horz shift right 2      Vert shift up 4
• Horz shift left 2    Vert shift up 4
• Horz shift right 2      Vert shift down 4
• Horz shift left 2      Vert shift up 4

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

What transformations has the function undergone?

• reflect over y, vertical compression by 2, right 5, up 1
• reflect over x, vertical  compression by 2, left 5, up 1
• reflect over x, vertical stretch by 2, right 5, up 1
• reflect over y, vertical stretch by -2, right 5, up 1

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

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

• $y=-\left(x-1\right)^3+4$

• $y=\left(x-1\right)^3+4$

• $y=-\left(x+1\right)^3+4$

• $y=\left(x+1\right)^3+4$

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Which of the following equations is a parabola?

• y = 2x + 4
• y = 2x³ + 4
• y = 2x² + 4
• y = 2^x

Tags

CCSS.HSA.REI.B.4

Which transformation maps the graph of

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

• a translation shifting 4 units up

• a translation shifting 4 units down

• a translation shifting 4 units to the left

• a translation shifting 4 units to the right

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

• 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.

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

• 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.

Describe the transformation of y = g(x) for the function

y = 3(x - 3) + 5

• Shifted up 5 units

  Shifted right 3 units

  Stretched vertically by a factor of 3

• Shifted down 5 units

  Shifted right 3 units

  Stretched vertically by a factor of 3

• Shifted down 5 units

  Shifted left 3 units

  Stretched vertically by a factor of 3

• Shifted down 5 units

  Shifted left 3 units

  Stretched vertically by a factor of 1/3