Quadratic Transformations Reflections

Which answer shows a reflection across the x-axis?

• d

• c

• b

• a

Choose the correct reflected image.

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Choose the correct reflected image.

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Choose the correct reflected image.

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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)

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

• A

• B

• C

• D

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

• y = 2x²

• y = -2x²

• y = -x²

• y = (x - 1)²

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

• TRUE

• FALSE

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