Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

(a)[3]

Fill in the value table for $y = x^2 + 2x - 1$.

(b)[4]

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

(c(i))[1]

On the grid, draw the axis of symmetry.

(c(ii))[1]

Give the equation of the line of symmetry.

(d(i))[2]

On the grid, plot the points $(-5,7)$ and $(0,-3)$ and connect them with a straight line $L$.

(d(ii))[2]

State the $x$-coordinate of each point where line $L$ intersects the graph of $y = x^2 + 2x - 1$.

(d(iii))[2]

Determine the gradient of the line $L$.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: The required sequence is $7,-2,7,14$.

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