Question

OB O A. v=(x+3)2+5 3. v= ? ( - 3)2 - 5 - 11/(x - 3)² + 5 - 1/(x - 3)² – 5 Oc. 2.1 V= -

Answer 1

The parent function of the image is,

`y=(1)/(2)x^2`

The transformation of the graph will be

1) It was reflected, which then changes the function into

`y=-(1)/(2)x^2`

2) After that, it was shifted to the right horizontally by 3units. The result now turns into

`y=-(1)/(2)(x-3)^2`

3) Finally, it was shifted vertically upward by 5units. The resulted function is now

`y=-(1)/(2)(x-3)^2+5`

Hence, the function of the graph is

`y=-(1)/(2)(x-3)^2+5`

The correct option is Option C.