Question

Priscilla graphed function g, a transformation of the quadratic parent function f(x)=1/2f(x+2)-1 which statement is correct?

A.)Priscilla made a mistake when applying the horizontal shift.
B.)Priscilla made a mistake when applying the vertical shift.
C.)Priscilla made a mistake when applying the vertical compression.
D.)Priscilla correctly graphed the transformed function .

Answer 1

Explanation:

A.)Priscilla made a mistake when applying the horizontal shift. That "x+2" indicates a horiz. shift to the LEFT, not to the right.

Answer 2

Option A.

Explanation:

Priscilla graphed function g(x), a transformation of the quadratic parent function f (x) =
`(1)/(2)` f ( x+2 ) - 1

(1) She graphed the vertical compression correctly

(2) Priscilla graphed the vertical shift of (-1) means 1 unit downwards on y-axis correctly.

(3) In the last she made a mistake because for f(x+2) the parent function should have been shifted left on x-axis by two units f (x) ⇒ f[ x- (-2)]

Therefore Option A will be the answer.