Quadratic Transformations in Spanish

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.

• 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.

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 description to its equation.
- moves down 3

• A

• B

• C

• D

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.

In the vertex form f(x) = a(x - h)² + k , what does the 'a' value do?

• Shifts the function left or right

• Changing 'a' value has no affect on the parent function

• Vertical stretch or compression

• Shifts the function up or down

Given f(x) = ax² , if a > 1 , the graph will transform by

• becoming wider or vertically compressed

• becoming narrower or vertically stretched

Given f(x) = -x² , how did we transform from the parent function?

• Horizontal shift left

• Reflection over the x-axis

• Vertical shift down

• Vertical compression