SOLUTION: graph the parabolas y = 1/2(x-1)^2 x=-1/4(y+1)^2 +2

Question 451013: graph the parabolas
y = 1/2(x-1)^2
x=-1/4(y+1)^2 +2
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
graph the parabolas
y = 1/2(x-1)^2
x=-1/4(y+1)^2 +2
..
y = 1/2(x-1)^2
This equation is a parabola of the form, y=A(x-h)^2+k.
For given equation, y = 1/2(x-1)^2
Curve opens upwards
(x,y) coordinates of the vertex= (h,k)=(1,0)
Axis of symmetry x=1
A=1/2 (The larger the narrower the curve)
With this information and one other point on the curve, you should be able to graph this parabola.
Your graph should look much like the one below.
..

..
x=-1/4(y+1)^2 +2
This equation is a parabola of the form, x=-A(y-k)^2+h.
For given equation, x=-1/4(y+1)^2 +2
Curve opens leftwards
(x,y) coordinates of the vertex= (h,k)=(2,-1)
Axis of symmetry y=-1
A=-1/4 (The larger the narrower the curve)
With this information and one other point on the curve, you should be able to graph this parabola.
Your graph should look much like the one below.
..
y=(-4x+8)^.5-1

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