Book Maths Puzzle Co-ordinate geometry

Hi can someone help me with determining the equation of the quadratic function

with a vertex of (3,5) and point (5,1)



and a parabola with the points (-1,4), (1, -2) and (2,1)



Thanks!

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Book Other Question

How do you solve this equation? Given that equations (a) x + 2y = 5 and equation (b) is x = 3y, solve the system of equations by substitution. How would I Graph the equations? Ho I need to find the value of v in the following log.
v=log(base 2)(1/4)
If I do as the law says, I come up with -2. But the book is showing 22. Am I doing this wrong or is the books answer wrong.