(a) On the axes below, sketch the graph \(y = -x^2\). [2]
(b) Write down a possible equation for the graph sketched below. [1]
Mark scheme (a)
Answer
Marks
Part marks and guidance
Correct shape and orientation, reasonable symmetry in y-axis, intent to pass through origin
2
M1 attempt at correct curve shape and orientation not necessarily through the origin
See Appendix Should be a single smooth curve that appears symmetrical by eye
For M1 condone translation in any direction, minor feathering and curvature errors
Plots should be curved and not straight-line segments
Appendix: Question 16a
2 marks: Correct shape and orientation, reasonable symmetry in y-axis, intent to pass through origin 1 mark: Attempt at correct curve shape and orientation not necessarily through the origin; condone translation in any direction, minor feathering and curvature errors
Plots should be curved and not straight-line segments
2 marks sym in y-axis, origin
2 marks sym in y-axis, origin, min feathering
2 marks reasonable.sym in y-axis, origin, min curvature
2 marks sym y-axis, origin, borderline feathering and min curvature
1 mark shape, not origin
1 mark Shape, not origin, minor curvature error
1 mark (best fit), shape, poor symmetry, origin, curvature issues
0 marks
Mark scheme (b)
Answer
Marks
Part marks and guidance
[\(y\) =] [\(k\)] \(\tan x\) where \(k \gt 0\)
1
Condone [y =][\(k\)] \(\tan x^\circ\), \(\tan\theta\) etc Do not accept [y =][\(k\)] tan, \(\tan y\), \(\tan\frac{o}{a}\), tan(a number) etc Ignore attempts at domain
