Describing Quadratic Functions Transformation

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

Tags

CCSS.HSF-IF.C.7A

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Does the graph of this equation open up or down? f(x) = -(x + 3)² - 5

• up

• down

Tags

CCSS.HSF-IF.C.7A

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

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

• shift up 2

• shift down 2

• shift left 2 

• shift right 2

• Vertical Stretch

• Horizontal Translation Right

• Vertical Translation Down

• Refection across the x-axis

• Reflection across the y-axis

• Vertical Translation Up

• Horitzontotal Translation Left

• Vertical Compression

• Horizontal Stretch

• Horizontal Translation Left

• Vertical Compression

• Refection across the x-axis

• Reflection across the y-axis

• Vertical Translation Up

• Horizontal Stretch

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

Which of the following is the correct PARENT function of the graph shown?

• f(x) = x²

• f(x) = x

• f(x) = |x|

• f(x) = (x - 2)²