Quadratic Reflections

Match the description to its equation.
Reflected over the x-axis 
Stretched by a factor of 2

• A

• B

• C

• D

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

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

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

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

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

Match the equation to its description.

• Reflected over x-axis and shifted up 4

• Reflected over x-axis and shifted down 4

• Reflected over x-axis and shifted right 4

• Reflected over x-axis and shifted left 4

How did we transform from y=x^2? y = -3x²

• vertical reflection and vertical shift down

• vertical reflection and vertical stretch

• horizontal stretch

• vertical reflection and vertical compression

If red represents y = x², which equation represents blue?

• y = 2x²

• y = -2x²

• y = -x²

• y = (x - 1)²

a indicates a ​ (a)   over the x-axis.

-a (opens ​ (b)   .)

+a (opens ​ (c)   .)

• Reflection

• Down

• Up

• Vertical

• Horizontal

• Left

• Right

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)

• f(-x)

• f^-1(x)

• f(2x)

A quadratic is reflected down when the value of a is negative.

• TRUE

• FALSE

Tags

CCSS.HSF-IF.C.7A

Consider a parabola that opens upward and has a vertex (-1, 3). Now find the equation of a new parabola that is reflected over the x-axis and translated 2 units down.

• y = -(x - 3)² + 3

• y = -(x - 1)² +2

• y = -(x + 1)² + 1

• y = -(x + 1)² - 2

Consider a parabola that opens upward and has a vertex (-1, 3). Now find the equation of a new parabola that is reflected over the x-axis and translated 2 units down.

• y = -(x - 3)² + 3

• y = -(x - 1)² +2

• y = -(x + 1)² + 1

• y = -(x + 1)_² - 2

Tags

CCSS.HSG.CO.A.2