book Maths Puzzle Numerical Ability

Hello to all!

Could someone kindly explain to me clearly, how to find the Vertex and intercepts of:

y = -2x^2 + 8x.

The book's answers are: Vertex(2,8):, intercepts are:

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book Other Question

i am less than 100
The sume of my digits is 4
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What number am i?
which of the following points lie on the graph of the function X+3y=-7