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,

$y=\frac{1}{2}x^2$

The transformation of the graph will be

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

$y=-\frac{1}{2}x^2$

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

$y=-\frac{1}{2}(x-3)^2$

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

$y=-\frac{1}{2}(x-3)^2+5$

Hence, the function of the graph is

$y=-\frac{1}{2}(x-3)^2+5$

The correct option is Option C.