8 Here is a table of values for \(y = x^2 + 2x - 2\).
\(x\)
−4
−3
−2
−1
0
1
2
\(y\)
6
1
−2
−3
−2
1
6
(a) Draw the graph of \(y = x^2 + 2x - 2\) for \(-4 \leqslant x \leqslant 2\).
[3]
(b) Write down the equation of the line of symmetry of the graph. [1]
(c) Use the graph to solve the equation \(x^2 + 2x - 2 = 0\). Give your answers to 1 decimal place. [2]
Mark scheme (a)
Answer
Marks
Part marks and guidance
accurate curve
3
B2 for 6 or 7 points accurately plotted or B1 for 4 or 5 points accurately plotted
tolerance \(\pm \frac{1}{2}\) small square radially for curve and points, condone a wobbly curve and slight feathering or tram lines in no more than 3 sections but no ruled lines
Mark scheme (b)
Answer
Marks
Part marks and guidance
\(x = -1\) oe
1
Mark scheme (c)
Answer
Marks
Part marks and guidance
−2.8 or −2.7 0.7 or 0.8
2
B1 for either If 0 or 1 scored FTtheir curve for 1 or 2 marks or SC1 for an answer in each of −2.8 to −2.7 and 0.7 to 0.8
tolerance \(\pm \frac{1}{2}\) small square radially
