Quadratic and Cubic Functions (HSC SSCE Mathematics Advanced): Quizzes

Where two functions intersect

$f(x) = g(x)$

$\Delta = b^2 - 4ac$

Two intersection points

The line is tangent to the parabola

No intersection points

The linear equation

Set the two functions equal

$(a_1 - a_2)x^2 + (b_1 - b_2)x + (c_1 - c_2) = 0$

When the equation doesn't factorise easily