Mathematics 0580 · IGCSE · Graphs of functions

Graphs of functions — practice question

(a(i))[3]

Complete the table for the values of $y = -x^2 + 5x + 7$.

(a(ii))[4]

Draw the graph of $y = -x^2 + 5x + 7$ on the grid for $-1 \le x \le 6$.

(a(iii)(a))[1]

Write down the equation for the graph's line of symmetry.

(a(iii)(b))[1]

Use symmetry to determine the value of $t$.

(b)[1]

State the gradient of the line $y = 9x - 4$.

(c)[1]

Write down an equation for a line parallel to $y = -5x + 19$.

(d)[2]

Find the equation of line $L$ in $y = mx + c$ form.

(e)[2]

Make $x$ the subject of $y = mx + c$.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: The completed values are $1,\ 7,\ 13,\ 13,\ 7$.

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