Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

(a)[2]

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

(b)[1]

State the coordinates of the point at which line L intersects the x-axis.

(c(i))[3]

Fill in the table of values for $y = x^2 + 5x + 3$.

(c(ii))[4]

Using the grid, sketch the graph of $y = x^2 + 5x + 3$ for $-6 \leq x \leq 1$.

(d(i))[1]

Using the grid, draw the line $y = 6$.

(d(ii))[2]

Solve the equation $x^2 + 5x + 3 = 6$ using your graphs.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: The equation is $y=2x+7$.

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