Quadratic Transformations Reflections

Match the equation to its description.

y = -(x-5)^2

• Reflected over x and up 5

• Reflected over x and down 5

• Reflected over x and right 5

• Reflected over x and left 5

Match the description to its equation.
Moves down 1
Moves right 1

• A

• B

• C

• D

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.

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

• horizontal shift up

• vertical shift up

• horizontal shift down

• vertical shift down

Which equation matches the following transformation: up 4, stretched 3, reflected down, and left 1

What is the vertex form of a quadratic function?

• f(x) = 2a(x-h)² + k

• f(x) = a(x-h)² + k

• f(x) = (x+h)² + k

• f(x) = a(x-h) - k

What is the axis of symmetry in a function?

• The transformation of the graph

• The vertex, represented by (h,k)

• A vertical line that passes through the vertex and divides the parabola in half

• y = h