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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

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

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

• horizontal shift up
• vertical shift up
• horizontal shift down
• vertical shift down

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

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

• A
• B
• C
• D

Match the description to its equation.
- moves down 3

• A
• B
• C
• D

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Nothing happens, it stays the same.
• Vertical stretch by a factor of 2.
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

• Nothing happens, it stays the same.
• Vertical stretch by a factor of 2.
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Which transformation will occur if f(x) = x² is replaced with -f(x)?

• Nothing happens, it stays the same.
• Vertical stretch by a factor of 2.
• Vertical translation up by 2 units.
• Reflection across the x-axis.