Sketching Curves — Questions

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

Question 1

[1](a)State the coordinates of the vertex (turning point) of y = x².

Question 2

[2](a)State the coordinates of the vertex of y = (x − 2)² + 1, and describe how its graph relates to y = x².

Question 3

[2](a)State the coordinates of the vertex of y = −(x − 1)² + 4, and state whether it is a maximum or minimum.

Question 4

[1](a)Describe how the graph of y = x² + 3 relates to the graph of y = x².

Question 5

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

Question 6

[2](a)State the equation of the line of symmetry of the curve y = x² − 6x + 5.

Question 7

[1](a)State the vertex of y = (x + 3)².

Question 8

[1](a)Compare the shape of y = 2x² with y = x², in terms of steepness.

Question 9

[1](a)State the equation of the line of symmetry of y = (x−4)² + 2.

Question 10

[2](a)State whether the graph of y = −x² + 5 has a maximum or a minimum point, and give its coordinates.

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