Quadratic Transformations

What is the vertex form of a quadratic function?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

• 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

What steps transform the graph y = x² to

y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

What steps transform the graph y = x² to

y = (x - 4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Which transformation maps the graph of

the parent function f(x) = x² to the graph of

g(x) = (x + 4)²

• a reflection across the line x = -4

• a reflection across the line y = -4

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right

Match the equation to its description.

• Vertically stretched by 2 and shifted up 4

• Vertically compressed by 2 and shifted up 4

• Vertically stretched by 2 and shifted left 4

• Vertically compressed by 2 and shifted left 4

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

Match the equation to its description.

• Vertically stretched by 4 and shifted up 4

• Vertically compressed by 4 and shifted up 4

• Vertically stretched by 4 and shifted right 4

• Vertically compressed by 4 and shifted right 4

Which list orders the quadratic functions from narrowest (thinnest) to widest?

• y = x²  y = 4x²  y = 2x² - 2   y = 0.5 x²

• y = 0.5 x²    y = x²  y = 2x² - 2  y = 4x²

• y = 4x²  y = 2x² - 2  y = x²  y = 0.5 x²  

•  y = 2x² - 2  y = 4x²  y = 0.5x²  y = x²