Algebra

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Equations : Quadratics

Step 1 : Enter a quadratic function in terms of x.

f(x) =   e.g. 3x^2 - 5x - 1

Step 2 : Choose a command relating to the function f(x) you entered above.

Factor f(x).

Solve f(x) = 0 by :
(i) Factoring the quadratic.
(ii) Using the quadratic formula.
(iii) Completing the square.

Rewrite f(x) in the form a(x ± b)2 ± c by completing the square.

For the parabola y = f(x), calculate the following :
(i) Concavity
(ii) x-intercepts
(iii) y-intercept
(iv) Axis of symmetry
(v) Vertex

Plot the parabola y = f(x).

Calculate the discriminant of f(x) = 0.
Calculate the number of roots of f(x) = 0.

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