Mathematics 0580 · IGCSE · Graphs of functions

Graphs of functions — practice question

(a)[2]

Finish the table of values for $y = 5 + 2x - x^2$.

(b)[4]

Using the grid, draw the graph of $y = 5 + 2x - x^2$ for $-2 \leq x \leq 4$.

(c(i))[1]

On the grid, sketch the axis of symmetry.

(c(ii))[1]

Write down the equation for the line of symmetry.

(d)[2]

Use your graph to determine the solutions of the equation $5 + 2x - x^2 = 4$.

(e(i))[1]

On the grid, draw a straight line from $(-1, 2)$ to $(1, 6)$.

(e(ii))[3]

Find the equation for this line in the form $y = mx + c$.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: Answer set $-3,5,2$.

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