Graphs of Functions — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[3](a)Find the coordinates where the graph of y = x² − 2x − 3 crosses the x-axis.

Question 2

[1](a)Find the y-intercept of y = x² − 2x − 3.

Question 3

[3](a)Find the coordinates where y = x² − 5x + 6 crosses the x-axis.

Question 4

[1](a)Find the y-intercept of y = x² − 5x + 6.

Question 5

[2](a)Find the coordinates where y = 2x − 4 crosses the x-axis and the y-axis.

Question 6

[2](a)State the shape of the graph of y = x³, and describe one key feature.

Question 7

[3](a)Find where y = x² + 2x − 8 crosses the x-axis.

Question 8

[1](a)Find the y-intercept of y = x² + 2x − 8.

Question 9

[2](a)Find the coordinates of the vertex of y = x² + 2x − 8, using x = −b/(2a).

Question 10

[1](a)State the number of times a typical quadratic graph can cross the x-axis.

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