Quadratic functions and equations quiz: O-Level Additional Mathematics (SEAB 4049) quiz

What is the discriminant of $ax^2 + bx + c = 0$?

If the discriminant of a quadratic equation is positive, the equation has:

A quadratic equation has equal (repeated) roots when the discriminant is:

Express $x^2 + 4x + 7$ in completed-square form.

From $a(x - h)^2 + k$, the vertex of the parabola is at:

For $y = a(x - h)^2 + k$ with $a > 0$, the value $k$ is the:

The line of symmetry of $y = (x - 5)^2 + 2$ is:

Find the values of $k$ for which $x^2 + kx + 4 = 0$ has equal roots.

Solve the inequality $x^2 - 4 > 0$.

For an upward parabola, the expression $ax^2 + bx + c$ is negative:

To solve $x^4 - 5x^2 + 4 = 0$, the most useful substitution is:

Solving $u^2 - 5u + 4 = 0$ (from $u = x^2$) gives $u = 1$ or $u = 4$. What are the values of $x$?

Why does the discriminant reappear in coordinate geometry of circles?