Find the equations from the graphs Solutiona general equatio

Find the equations from the graphs.

Solution

a) general equation of parabola is y=a(x-h)²+k with vertex(h,k)

vertex (h,k)=(-2,6)

equation of parabola is y=a(x+2)²+6

parabola passing through (x,y)=(0,2)

2=a(0+2)²+6

2=4a +6

a=-4/4

a=-1

equation of parabola is y=-(x+2)²+6

or

equation of parabola is y=-x²-4x+2

b)centre of circle =(h.k)=(3,0)

radius r=3

equation of circle is (x-h)²+(y-k)²=r²

(x-3)²+(y-0)²=3²

(x-3)²+y²=9