Question: (a) Find a quadratic function whose x-intercepts are -3 and 1 with a = 1; a = 2; a = -2; a = 5. (b)
(a) Find a quadratic function whose x-intercepts are -3 and 1 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 the mid-point of the x-intercepts. What might you conclude?
Answer problem using above: 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.
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a For a 1 For a 2 For a 2 For a 5 b The xintercepts are not affected by the value of a The yinte... View full answer
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