(a) Complete the table of values for \(y = x^2 - 3x + 1\)
\(x\)
−1
0
1
2
3
4
\(y\)
1
−1
(2)
(b) On the grid, draw the graph of \(y = x^2 - 3x + 1\) for values of \(x\) from \(-1\) to 4(2)
(c) Using your graph, find estimates for the solutions of the equation \(x^2 - 3x + 1 = 0\) (2)
Mark scheme (a)
Answer
Mark
Mark scheme
\(5, (1), (-1), -1, 1, 5\)
B2
for all 4 values correct
(B1
for 2 or 3 correct values)
Mark scheme (b)
Answer
Mark
Mark scheme
Graph drawn
B2
for a fully correct graph
(B1
ft (dep on B1 in (a)) for plotting at least 5 of the points from their table correctly)
Additional guidance
Accept a freehand curve drawn that is not made of line segments
Ignore anything drawn outside the required range
Mark scheme (c)
Answer
Mark
Mark scheme
0.3 to 0.5 and 2.5 to 2.7
M1
for a correct method, eg marking intercepts with \(x\)-axis or one correct solution or both solutions given as a coordinates, eg \((0.4, 2.6)\) or \((0.4, 0)\) and \((2.6, 0)\)
A1
for answers in the range 0.3 to 0.5 and 2.5 to 2.7 or ft their graph with at least 2 solutions
