Book Maths Puzzle Algebra

The sum of two digits of a two digit number is seven. If the digits are reversed, the new number is nine less than the original number.

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Book Other Question

Thanks - I can't figure out this problem and it is due tomorrow!

y=4X^2 - X + 6

We are suppose to sketch a graph of t he equation.
Where is the vertex of the graph of y=x^2-5?