Transformations to Quadratic Functions

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

Which function has a translation of 7 units down and reflects over the x-axis?

• f(x) = -(x - 7)² + 1

• f(x) = (x + 7)² + 1

• f(x) = -(x - 1)² - 7

• f(x) = (x + 1)² - 7

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

Tags

CCSS.HSF-IF.C.7A

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

• horizontal shift right 5 units

• horizontal shift left 5 units

• vertical shift up 5 units

• vertical shift down 5 units

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

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2

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

• up

• down

Tags

CCSS.HSF-IF.C.7A

Describe the transformation of y =(x - 3)² + 5

• translated Right 3, Up 5

• translated Left 3, Up 5

• translated Right 5, Down 3

• translated Right 3, Down 5

Which of the following is a transformation of the graph y = x² + 4 ?

• Shifts left 4.

• Shifts right 4.

• Shifts up 4.

• Shifts down 4.

What are transformations of the equation y = (x - 2)² + 3?

• right 2
  up 3

• left 2
  up 3

• left 2
  down 3

• right 2
  down 3

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

• Vertical Shrink by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, Vertical Shrink by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, vertical stretch by 1/2, shifted 4 units left and 1 unit up

• Vertical Stretch by 1/2, shifted 4 units right and 1 unit down