Transformations of Functions Reflection Over X-Axis

• g(x)=2x²
• g(x)=0.5x²
• g(x)=x²+2
• g(x)=(x+2)²

What are the following transformations?
- f(x+2)

• reflection over the y axis and 2 units to the right

• reflection over the x axis and 2 units right

• reflection over the y axis and 2 units left

• reflection over the x axis and 2 units left

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Complete the mapping for a reflection over the x-axis:

• x

• -y

• -x

• y

Tags

reflections

transformations

mappings

A reflection over the x-axis causes the ​ (a)   to stay the same and the ​ (b)   to switch.

The algebraic representation is ​ (c)  

• x-value

• y-value

• (x, y)-->(x, -y)

• (x, y)-->(-x, y)

• f(x)=3∣x−2∣−2
• f(x)=1/3∣x+2∣−2
• f(x)=3∣x+2∣−2
• f(x) = 1/3∣x−2∣+2

Describe the transformation:
y = -√x

• Translate Down 1

• Translate Right 1

• Reflection over the x-axis

• Reflection over the y-axis

f(x) = -√(x) - 2

• Reflect over x-axis
  Down 2

• Reflect over y-axis
  Up 2

• Reflect over x-axis
  Up 2

• Reflect over y-axis
  Down 2

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch, and shifted right 5

• Reflected over the x-axis, vertical stretch, and shifted left 5

• Shifted right 5, shifted down 2

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