transformations

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

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

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

Match the equation with the graph:

• y = (x - 2)² + 4

• y = -(x - 4)² + 2

• y = -(x - 2)² + 4

• y = -(x + 2)² + 4

Describe the transformations from the original parent function f(x) = x².

g(x) = 5x² + 2

• Vertical Stretch of 5

  Vertical Down 2

• Vertical Compression of 5

  Vertical Up 2

• Vertical Stretch of 5

  Vertical Up 2

• Vertical Compression of 5

  Vertical Down 2

What are the transformations of this functions compared to the parent function y = √(x)?

• Horizontal right 5, vertical down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch of 2, and horizontal right 5

• Reflected over the x-axis, vertical stretch of -2, and horizontal left 5

• Horizontal right 5, Vertical down 2

What is the equation of this graph?

• f(x) = (x + 2)² - 3
• f(x) = (x - 2)² - 3
• f(x) = |x + 2| - 3
• f(x) = |x - 2| - 3

Which equation represents this graph.

• f(x)=∣3x∣
• f(x)=2∣x∣-3
• f(x)=∣x∣
• f(x)=3∣x∣-2

Which equation represents this graph.

• f(x)=(x - 4)² - 3
• f(x)=-(x - 4)² + 3
• f(x)=(x - 4)² + 3
• f(x)=-(x + 4)² + 3

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