Question

If the parent function is f(x) = x2 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

can you identify the vertex..?

Answer 2

thats's the vertex in the transformed function

Answer 3

For all quadratic equations (aka. parabolas)
You must be familiar with it's vertex form equations.
\(\Large {y=a(x-h)^2+k}\)
\(\Large \color{red}a\) indicates the stretches or narrowness of the parabola, also if there's a -a, then the parabola flips down, if there's +a then the parabola flips up U
\(\Large\color{red}h\) indicates whether the function is shifting horizontally to the left and right.
\(\Large\color{red}k\) indicates the vertical shifting , up or down.

Answer 4

(h,k) are the vertex points

Answer 5

@Zale101 thank you so much!!!!

Answer 6

You're welcome ! :)