Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

(a)[2]

Complete the values table for $y = x^2 - 5x + 3$.

(b)[4]

Using the grid, draw the graph of $y = x^2 - 5x + 3$ for $-1 \leq x \leq 5$.

(c)[1]

State the equation of the line of symmetry of the graph of $y = x^2 - 5x + 3$.

(d(i))[1]

State the co-ordinates of the point at which the line $y = 4 - x$ meets the x-axis.

(d(ii))[1]

State the co-ordinates of the point at which the line $y = 4 - x$ meets the y-axis.

(e)[1]

Using the grid, draw the line $y = 4 - x$.

(f)[2]

State the co-ordinates of the points where the graph of $y = x^2 - 5x + 3$ and the line $y = 4 - x$ intersect.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: The coordinates are $(9,-3,-3)$

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