A parabola opens upwards and touches the -axis at exactly one point.
MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
A parabola opens upwards and touches the x-axis at exactly one point.
(a) State the sign (positive, zero or negative) of the discriminant of its equation.
(b) State the sign (positive or negative) of the coefficient a in its equation y=ax2+bx+c.