A quadratic function of the form f(x) = ax2 + bx + c with b2 - 4ac > 0 may also be written in the form f(x) = a(x - r1) (x - r2), where r1 and r2 are the x-intercepts of the graph of the quadratic function. (a) Find a quadratic function whose x-intercepts are - 3 and1 with a = 1; a = 2; a = - 2; a = 5.(b) How does the value of a affect the intercepts?(c) How does the value of a affect the axis of symmetry?(d) How does the value of a affect the vertex?(e) Compare the x-coordinate of the vertex with themidpoint of the x-intercepts. What might you conclude?

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