Exploring Quadratic Functions and Transformations

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

• y = (x - 1)² - 2

• y = (x + 1)² - 2

• y = (x - 2)² + 1

• y = (x + 2)² - 1

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)?

 (Blue is f(x) and red is g(x) )

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

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

What is the axis of symmetry of the given function?

• y = 1

• y = -1

• x = 1

• x = -1

Which of the following represents the vertex form of a quadratic function?

• 2 units to the left

• 2 units to the right

• 2 units up

• 2 units down