EJU Japan · EJU Mathematics Course 1

Quadratic Functions and Coordinate Geometry

6 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 6 questions

Find the coordinates of the vertex of the parabola given by $y = 2 x^{2} - 8 x + 11$ .
For what values of the real parameter $k$ does the quadratic equation $x^{2} - 2 k x + (3 k + 4) = 0$ have two distinct real roots?
Find the maximum and minimum values of $f (x) = - x^{2} + 4 x + 1$ on the closed interval $[0, 3]$ .
Find the equation of the line passing through $(3, - 2)$ parallel to $4 x + 2 y - 5 = 0$ .
If the graph of $y = x^{2} - 4 x + c$ is tangent to the $x$ -axis, what is the value of $c$ ?
A parabola $y = a x^{2} + b x + c$ has its axis of symmetry at $x = 3$ and passes through $(1, 0)$ and $(0, 5)$ . What is the coefficient $a$ ?

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