(a) Find a quadratic function whose x-intercepts are -3 and 1 with a = 1; a =...

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(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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Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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