1.c.1 - 2015 Q12
12 i) Find the set of values of k for which the line y = 2x+k intersects the curve y = 3x2 +12x+13 at two distinct points. (5)
ii) Express 3x2 +12x+13 in the form a(x+b)2 +c. Hence show that the curve y = 3x2 +12x+13 lies completely above the x-axis. (5)
iii) Find the value of k for which the line y = 2x + k passes through the minimum point of the curve y = 3x2 +12x+13. (2)
ii) Express 3x2 +12x+13 in the form a(x+b)2 +c. Hence show that the curve y = 3x2 +12x+13 lies completely above the x-axis. (5)
iii) Find the value of k for which the line y = 2x + k passes through the minimum point of the curve y = 3x2 +12x+13. (2)