Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

A coordinate plane displays points A and B. A is positioned at about (-4, -2), and B is positioned at about (4, 2).
(a(i))[1]

Plot C at (-4, 2).

(a(ii))[1]

State the mathematical name of the triangle made by connecting A, B and C.

(a(iii))[1]

State the vector \overrightarrow{AB}.

(a(iv)(a))[2]

Calculate the gradient of line AB.

(a(iv)(b))[1]

State the equation of line AB.

(b(i))[3]

Complete the values in the table for y = x^2 + x - 5.

(b(ii))[4]

On the grid below, sketch the graph of y = x^2 + x - 5 for -4 \le x \le 4.

(b(iii))[2]

Use your graph to solve x^2 + x - 5 = 0.

Worked solution & mark scheme

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