Question

Various transformation help???

State the various transformations applied to the base function f(x) = x^2 to obtain the graph of the function g(x) = -2[(x-2)^2 + 3].

Answer 1

(A)A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 2 units to the right, and a vertical shift downward of 6 units.

(B)A reflection about the y-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.

(C)A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.

(D)A reflection about the y-axis, a vertical stretch by a factor of 2, a horizontal shift of 2 units to the right, and a vertical shift downward of 6 units.

Answer 2

general vertex form of equation a(x-h)^2 + k
a = stretch or shrink
-a = reflection about x-axis
-h = move to the right
+ h = move to the left
k= move up
-k = move down

Answer 3

@triciaal So that means so far my answer is down to A or C?

Answer 4

i got D

Answer 5

thanks

Answer 6

sorry wrong axis A is correct