Shifts and Transformations of Quadratics

• up 3

• down 3

• right 1

• left 1

• downward

• upward

How did we transform from y=x² to y = -3x²

• reflection in x-axis and shifts down

• reflection x-axis and narrower

• wider

• reflection x-axis and wider

Does the graph of this equation widen or narrow from the parent function?
y=  5(x - 5)² + 3

• widen

• narrow

• neither

If the function f(x) = x² is changed so that a new function is created, g(x) = 5x², how does g(x) compare to f(x)?

• The graph of g(x) is wider than the graph of f(x)

• The graph of g(x) is narrower than the graph of f(x)

• The graph of g(x) is shifted 5 units up above f(x)

• The graph of g(x) is shifted 5 units down below f(x)

Which describes the transformation of the graph of f(x) = x²  to the graph of  g(x) = -4x²

• Reflected, narrower

• reflected, wider

• shifted down 4 units

• shifted up 4 units

What are the transformations?

y=(x-2)²+4 (Choose ALL that apply.)

• shift right 2

• shift left 2

• shift up 4

• shift down 4

Match the equation to its description.

• Vertical Stretched by 2 and translation up 4

•  Vertical Compressed by 2 and translation up 4

• Horizontal Stretched by 2 and translation left 4

• Horizontal Compressed by 2 and translation right 4

How did we transform from the parent function? y = -1/5x² + 7 (Choose ALL that apply.)

• reflection over the x-axis

• vertical shift up 7

• vertical stretch of 1/5

• vertical shift down 7

• vertical compression of 1/5

Describe the transformation: y=-3(x-2)²-4.

• reflection across x-axis

• Vertical Stretch by factor of 3

• Vertical Compression by factor of 3

• down 4

• right 2

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5

• Horizontal compress by 5

• Reflect

• Move up 5