SOLUTION: how can i write x=y2-2y-15 in standard form and graph it

Question 537423: how can i write x=y2-2y-15 in standard form and graph it
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
how can i write x=y2-2y-15 in standard form and graph it
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x=y2-2y-15
complete the square
x=(y^2-2y+1)-15-1
x=(y-1)^2-16
This is an equation of a parabola which opens rightwards of the standard form: x=A(y-k)^2+h, with (h,k) being the (x,y) coordinates of the vertex.
..
For given equation of a parabola:
vertex: (-16,1)
..
y-intercept:
set x=0
(y-1)^2-16=0
(y-1)^2=16
take sqrt of both sides
y-1=�√16=�4
y=1�4
y=5 or -3
..
x-intercept
set y=0
x=-15
..
You now have coordinates of the vertex, the y-intercepts, x-intercept and knowledge that it is a parabola that opens rightwards, information with which you should be able to graph the given function.
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