Transformations Parent Functions

Describe the transformation from the parent graph

• Reflect over x, right 3, down 4

• Reflect over y, right 3, down 4

• Reflect over x, right 3, up 4

• Reflect over y, left 3, down 4

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, down 5

• right 1, up 5

What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the x-axis

• Shifted right 2, shifted up 3, and reflected over the x-axis

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

Which transformation will occur if f(x) = x is replaced with 2f(x)?​ (a)   ​ (b)   by a factor of ​ (c)  

• vertical

• horizontal

• stretch

• compression

• translation

• 2

• 1/2

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

• vertical

• horizontal

• stretch

• compression

• by a factor of 2

• by a factor of 1/2

• translation

• up 2 units

• down 2 units

• right 2 units

If we transform the linear parent function by a factor of 3, reflect it, and translate it down 2, what would the new equation be?

Mathematical Equivalence

ON

The graph of parent function f(x) = x has been transformed to h(x) = f(x - 2) + 3.  Which graph represents this transformation?

• A

• B

• C

• D

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

• y = x² + 4

• y = (x + 4)²

• y = (x - 4)²

• y = 4x²

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

• y = x² + 2

• y = -x² + 2

• y = x² - 2

• y = -(x + 2)²