??? - 2016 JUNE Q8 ANSWERS
8.
i) The curve y = 3 x can be transformed to the curve y = 3 x+2 by a translation. Give details of the translation [2]
ii) Alternatively, the curve y = 3 x can be transformed to the curve y = 3 x+2 by a stretch. Give details of the stretch. [2]
iii) Sketch the curve y = 3 x+2 , stating the coordinates of any points of intersection with the axes. [2]
iv) The point P on the curve y = 3 x+2 has the y coordinate equal to the 180. Use logarithms to find the x coordinate of P correct to 3 significant figures.
v) Use the trapezium rule, with 2 strip each width of 1.5, to find an estimate for
i) The curve y = 3 x can be transformed to the curve y = 3 x+2 by a translation. Give details of the translation [2]
ii) Alternatively, the curve y = 3 x can be transformed to the curve y = 3 x+2 by a stretch. Give details of the stretch. [2]
iii) Sketch the curve y = 3 x+2 , stating the coordinates of any points of intersection with the axes. [2]
iv) The point P on the curve y = 3 x+2 has the y coordinate equal to the 180. Use logarithms to find the x coordinate of P correct to 3 significant figures.
v) Use the trapezium rule, with 2 strip each width of 1.5, to find an estimate for
Give your answer correct to 3 significant figures.