Algebra Transformation

Describe the transformation of the function from the Parent Function g\left(x\right)=-x^3+5

• Reflection over

  x-axis

  and

  Shift Left 5

• Reflection over

  y-axis

  and

  Shift Right 5

• Reflection over

  y-axis

  and

  Shift Up 5

• Reflection over

  x-axis

  and

  Shift Up 5

Describe the transformation of the function from its Parent Function \(g\left(x\right)=2\left|x-7\right|-3\)

• Narrower by 2, Shift Right 3 and Shift Down 7

• Narrower by 2, Shift Right 7 and Shift Down 3

• Wider by 2,

  Shift Left 7 and Shift Down 3

• Wider by 2,

  Shift Right 7 and Shift Down 3

Describe the transformation that occurred

m(x) = f(x + 1)

• Left 1 Unit

• Right 1 unit

• vertical stretch

• up 1 unit

The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

Name the parent function.

• linear

• quadratic

• cubic

• logarithmic

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units

• horizontal shift right 7 units

• vertical shift up 7 units

• vertical shift down 7 units

What is the equation of the graph below?

• f(x) = I x + 2 I 

• f(x) = I x + 2 I +2

• f(x) = I x - 2 I +2

• f(x) = I x - 2 I 

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4

• y = (x + 4)²

• y = (x - 4)²

• y = 4x²

Given f(x) = (x + 3)² , how did we transform from the parent function?

• Horizontal shift left 3

• Vertical shift up 3

• Horizontal shift right 3

• Vertical shift down 3

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 

• Left 4

• Right 4

• Up 4

• Down 4