Transformations of Functions

Describe the transformations of f(x)=x²+5

• horizontal shift right 5 units
• horizontal shift left 5 units
• vertical shift up 5 units
• vertical shift down 5 units

Describe the transformations 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

Describe the transformations f(x) = x² -8

• Vertical shift sp 8 units
• Vertical shift down 8 units
• Horizontal shift right 8 units
• Horizontal shift left 8 units

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Match the equation to its description.

• Reflected over x, right 2 and up 1
• Reflected over x, left 2 and up 1
• Reflected over x, right 2 and down 1
• Reflected over x, left 2 and down 1

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1

If the blue is f(x)=x^2, then the red must be

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

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

• a vertical shift 4 units up
• a vertical shift 4 units down
• a horizontal shift 4 units to the left
• a horizontal shift 4 units to the right

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1