Which of the following describes the translation of the graph of y = x2 to obtain the graph of y = -x2 + 3?

reflect over the x-axis and shift right 3
reflect over the x-axis and shift up 3
reflect over the y-axis and shift down 3

Question

Which of the following describes the translation of the graph of y = x2 to obtain the graph of y = -x2 + 3?


reflect over the x-axis and shift right 3
reflect over the x-axis and shift up 3
reflect over the y-axis and shift down 3

amistre64 · Answer

which one are you leaning towards and why?

anonymous · Answer

im leaning towards thhe 2nd one bc its a positive and on a graph positive is either right or its up

amistre64 · Answer

i like the second one as well,  that +3 out there all alone tells us that the graph moves up by 3.   the change from y=+x^2  to y=-x^2 also tells us that we flip over the x axis

anonymous · Answer

thats what i was thinking thank you

amistre64 · Answer

youre welcome