The graph of the function f(x) =ax2 +bx +c has its vertex at (0,2) and passes through the point (1,5). Find a,b, and c.
Given that a standard equation of parabola and its vertex and a point that is lie n this parabola.
We need to find the a, b, & c.
We know that, vertex is lies on the parabola, so that it will satisfy the given equation.
Here we call f(x) as y.
So that, we put x = 0 & y = 2 in the given equation.
We know that, point (1,5) is also lies on this parabola.
So, it will satisfy the given ...
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