RRB Government Jobs Exams

Find all values of b and c so that the quadratic function
f(x) = x^2 + bx + c has a graph that is tangent to the x axis and a
y-intercept at (0 , 4)

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RRB Other Question

is a quadratic function whose graph has a vertex at the point (-3 , 2) and has
a y-intercept at the point (0 , -16).
a) Find the equation for function f.
b) Find the x-intercepts of the graph of f. Find the equation of a quadratic function f whose graph has a vertical axis of
symmetry x = -2, the range of f is given by the interval [4 , +infinity) and f(2) = 8.