Graphs; will you plz help me?? ?

Question

61) Compare the functions and their graphs. Describe the horizontal and vertical translations of the vertex from Graph A to Graph B.

[[HERES THE GRAPHS]]

http://s218.photobucket.com/albums/cc35/stephanielazar1992/?action=view&current=untitled-7.jpg

67) Compare the graphs and their functions. Describe the horizontal and vertical translations of the vertex from Graph A to Graph B.

[[HERES THE GRAPH]]

http://s218.photobucket.com/albums/cc35/stephanielazar1992/?action=view&current=untitled1.jpg

Answer 1

61) y=x2 transferred to y = x^2 -6

so it is of the type

f(x) and f(x) -6

so the graph is shifted 6 units down

67) y = -2x^2 +2 is transferred to y = -2(x-5)^2+5

step1. y = -2x^2 +2

x is replaced by x-5

so, for y= -2(x-5)^2 +2

the original graph will shift 5 units to right hand side .

step2.  y =-2(x-5)^2 +2

add 3 to f(x)

y = -2(x-5)^2 +5

so the graph obtained in step 1 will shift  3 units upward along y-axis.