How do you write equations for quadratic functions that meet these conditions?

pear1

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Write the equation for a quadratic function that meets the conditions for each problem. Give the final solution in standard form, vertex form, and factored form (if possible).

a) Vertex at (2, 5), and contains the point (1, 8)

b) line of symmetry at x = 4, contains point (7, 25)

c) Roots at p and r, and contains the point (4, -3)


You don't have to do all of them, but if you could explain how to do them it'd be appreciated
 
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