Test: Quadratic functions and parabolas

Dynamic parabola direction, vertex, axis, zeros, intercepts, graphs and coefficient effects.

Question qty: 10
Duration in minutes: 19
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Sample questions

Give the vertex of y = a(x − (m))² + (n).
How does increasing |a| affect the width of y = ax²?
Give the axis of symmetry of y = (x − (m))² + (n).
Where does y = ax² + (b)x + (c) cross the y-axis?
Find the zeros of y = (x − (x1))(x − x2).
Give the vertex from the graph. grafikas
Which way does the parabola y = ax² open?
A ball’s height is modelled by a downward-opening parabola with coefficient −a. What does its vertex represent?

Quadratic functions and parabolas

The graph of y = ax² + bx + c is a parabola. It opens upward when a > 0 and downward when a < 0. Its axis of symmetry is x = −b/(2a), and substitution of this value gives the vertex.

Reading the graph

The x-intercepts are the roots of ax² + bx + c = 0, while the y-intercept is (0, c). The vertex gives the minimum or maximum value. The graph also shows intervals where the function increases, decreases, is positive or is negative.

Test: Quadratic functions and parabolas

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Sample questions

Quadratic functions and parabolas

Reading the graph

Test: Quadratic functions and parabolas

Question Nr. 1 out of 10

Question Nr. 2 out of 10

Question Nr. 3 out of 10

Question Nr. 4 out of 10

Question Nr. 5 out of 10

Question Nr. 6 out of 10

Question Nr. 7 out of 10

Question Nr. 8 out of 10

Question Nr. 9 out of 10

Question Nr. 10 out of 10

Sample questions

Quadratic functions and parabolas

Reading the graph

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