exam Maths Puzzle Numerical Ability

find the coordinates of the vertex and determine whether the graph opens up or down.

y=x2-5

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exam Other Question

what can a and k be so both points are on the graph of function?
points are (1,11) and (2,-19); function is y= a(x+1)^2 + k
how can i find the function so that both poitns are on the graph?? what are (a) the x intercepts, (b) the y-intercepts and (c) the foci of the ellipse x^2/25 + y^2/36 = 1
(a)____________
(b)____________
(c)____________ PLEASE HELP!!!!!!!!