Transformations Wrap Up

What transformation does the constant term '+2' in the function f(x) = -(x+5)^2 + 2 represent?

• A vertical shift up by 2 units

• A vertical shift down by 2 units

• A horizontal shift left by 2 units

• A horizontal shift right by 2 units

How does the term '(x+5)' within the squared expression in f(x) = -(x+5)^2 + 2 transform the graph of the parent function f(x) = x^2?

• It shifts the graph 5 units to the right.

• It shifts the graph 5 units to the left.

• It shifts the graph 5 units up.

• It shifts the graph 5 units down.

What type of reflection is indicated by the negative sign in front of the squared term in the function f(x) = -(x+5)^2 + 2?

• A reflection about the y-axis

• A reflection about the x-axis

• A reflection about the origin

• No reflection

What is the parent function for the given transformed function f(x) = -(x+5)^2 + 2?

• f(x) = x

• f(x) = x^2

• f(x) = x^3

• f(x) = |x|