Quadratic Transformations Day 2

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Vertical shrink by 2, shifted 2 units left and 5 down

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

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

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

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, vertically stretched by 1/2, shifted 4 units left and 1 unit up

• Vertically 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
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

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

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²

How did we transform from the parent function?
y = x² + 2

• horizontal shift left 2

• vertical shift up 2

• horizontal shift right 2

• vertical shift down 2

How did we transform from y=x²?

y = -3x²

• vertical reflection and vertical shift down

• vertical reflection and vertical stretch

• horizontal stretch

• vertical reflection and vertical compression