Foundation November 2018 Paper 1 Q22

(a) Complete the table of values for \(\quad y = x^2\) [1 mark]

\(x\)	\(-2\)	\(-1\)	0	1	2
\(y\)

(b) Draw the graph of \(\quad y = x^2 \quad\) for values of \(x\) from \(-2\) to 2 [2 marks]

Mark scheme (b)

Answer	Mark	Comments
Plots their points correctly or restarts with 4 or 5 correct points plotted	M1	\(\pm \dfrac{1}{2}\) square tolerance allow one error
Correct graph	A1	smooth quadratic curve through points

Allow \(\pm \dfrac{1}{2}\) square tolerance for curve passing through points

If their points do not form a quadratic curve, it is maximum M1

The ‘base’ of the quadratic curve should be a smooth fairly flat curve, not a pointed shape

Ignore additional points beyond \(x = 2\) and \(x = -2\)

Ignore extended graph beyond \(x = 2\) and \(x = -2\)

Mark scheme (c)

Answer	Mark	Comments
Draws a horizontal line from 2.6 on the \(y\)-axis to their graph	M1	implied by correct vertical line down to the \(x\)-axis from correct point or at least one correct value seen for their graph
Correct readings from their graph	A1ft	must see both values

Positive value only or negative value only given	M1A0
Tolerance on readings of \(\pm \dfrac{1}{2}\) square
It is sufficient, for M1, for the horizontal line to meet the graph once
No graph and answer of 1.6	M0A0