Question

If the parent function is f(x) = x^2 and its transformed function is
g(x) = 2(x – 1)^2 + 2, how is the graph of g(x) transformed from the graph of its parent function?

Answer 1

A(Bx + C) + D

A = makes the function narrower, the "y" is twice bigger as the "x" on the parent
C = horizontal shift, C > 0, to the left, C<0, to the right
D = vertical shift, D >0, up, D < 0, down

Answer 2

a.stretch, shift along the y- axis, and sift along the x- axis
b.shift along the x-axis and the y-axis
c.reflection only
d.stretch along the y-axis and reflection through the origin

Answer 3

read above

Answer 4

i dont understand what u mean

Answer 5

$$
g(x) = \color{red}{2}(x \color{red}{– 1})^2 \color{red}{+ 2}\\
g(x) = \color{red}{A}(Bx \color{red}{+ C}) \color{red}{+ D}
$$
A = makes the function narrower, the "y" is twice bigger as the "x" on the parent
C = horizontal shift, C > 0, to the left, C<0, to the right
D = vertical shift, D >0, up, D < 0, down

Answer 6

ok i got it