exam Maths Puzzle Numerical Ability

how do you solve an ellipse equation like this? when there a numbers in place of the a^2 and b^2?


(x-h)^2 (y-k)^2
_______ + _____
a^2 b^2

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exam Other Question
The width of a rectangle is 2/3 of its length. Find its length if the perimeter is 80 cm. Find the dimensions.
 Hello,

How do I find the vertex and intercept, and sketch its graph:

g(x) = x^2 + 2x - 24

Thank you so much!