6.3 - 2014 Q11
11) Fig. 11 shows a sketch of the curve with equation y = (x - 4)2 - 3.
i) Write down the equation of the line of symmetry of the curve and the coordinates of the minimum
point. (2)
ii) Find the coordinates of the points of intersection of the curve with the x-axis and the y-axis, using surds where necessary. (4)
iii) The curve is translated by
ii) Find the coordinates of the points of intersection of the curve with the x-axis and the y-axis, using surds where necessary. (4)
iii) The curve is translated by
Show that the equation of the translated curve may be written as y = x2 -12x+33. (2)
iv) Show that the line y = 8-2x meets the curve y = x2 -12x+33 at just one point, and find the coordinates of this point. (5)
iv) Show that the line y = 8-2x meets the curve y = x2 -12x+33 at just one point, and find the coordinates of this point. (5)