EJU Japan · EJU Mathematics Course 1

Quadratic Functions

24 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 24 questions

What are the coordinates of the vertex of the parabola $y = - x^{2} - 4 x - 13$ ?
The quadratic function $y = 2 x^{2} - 16 x + 38$ has a minimum value. What is it?
What are the coordinates of the vertex of the parabola $y = - x^{2} - 4 x - 9$ ?
The quadratic function $y = - x^{2} - 6 x - 18$ has a maximum value. What is it?
Find the axis of symmetry of the graph of $y = - 2 x^{2} - 8 x - 12$ .
The quadratic function $y = - 2 x^{2} - 4 x + 3$ has a maximum value. What is it?
Find the axis of symmetry of the graph of $y = 3 x^{2} - 6 x - 6$ .
What are the coordinates of the vertex of the parabola $y = 2 x^{2} - 16 x + 33$ ?
Find the axis of symmetry of the graph of $y = 3 x^{2} - 30 x + 78$ .
Find the axis of symmetry of the graph of $y = - 2 x^{2} + 16 x - 26$ .
Find the axis of symmetry of the graph of $y = 2 x^{2} - 20 x + 46$ .
The quadratic function $y = 2 x^{2} - 12 x + 16$ has a minimum value. What is it?
How many integers $x$ satisfy $x^{2} - 8 x + 7 < 0$ ?
How many integers $x$ satisfy $x^{2} - 13 x + 22 < 0$ ?
How many integers $x$ satisfy $x^{2} - 4 x < 0$ ?
How many integers $x$ satisfy $x^{2} + x - 6 < 0$ ?
How many integers $x$ satisfy $x^{2} - x - 12 < 0$ ?
How many integers $x$ satisfy $x^{2} - 3 x < 0$ ?
The two roots of $x^{2} + 2 x - 9 = 0$ are $α$ and $β$ . Find $α^{2} + β^{2}$ .
The two roots of $x^{2} - 5 x - 12 = 0$ are $α$ and $β$ . Find $α^{2} + β^{2}$ .
The two roots of $x^{2} + 8 x + 11 = 0$ are $α$ and $β$ . Find $α^{2} + β^{2}$ .
The two roots of $x^{2} - 5 x + 7 = 0$ are $α$ and $β$ . Find $α^{2} + β^{2}$ .
The two roots of $x^{2} + 2 x - 4 = 0$ are $α$ and $β$ . Find $α^{2} + β^{2}$ .
The two roots of $x^{2} - 5 x + 3 = 0$ are $α$ and $β$ . Find $α^{2} + β^{2}$ .

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