exam Maths Puzzle Numerical Ability

How do you identify whether x^2+3y^2-2x+36y+100=0 is a circle, hyperbola, parabola, or an ellipse.

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exam Other Question

apply the following translation to y=x^2
y=-(x-1)^2+5
a. sketch a graph by translating the original graph
b. describe the translation in words
c. give the mapping notation
d.
1) Find the domain of the following:

a) f(t)=log(t-5)
b) g(x)=5e
c) g(x)=ln(x+4)
d) g(t)=5numbers of years

explain how the answer was obtain