exam Maths Puzzle Numerical Ability

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.

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exam Other Question

I have a few questions like these in my college algebra book with no examples to help.

10-13/x=4+5/x

and

x/(x+4) + 4/(x+4) + 2= 0 How do you identify whether x^2+3y^2-2x+36y+100=0 is a circle, hyperbola, parabola, or an ellipse.