(Follow on from previous question) A curve has equation y= x^2+3x+2. Use your previous results to i) find the vertex of the curve ii) find the equation of the line of symmetry of the curve

i) y = x2+3x+2 = (x+3/2)2-1/4Solution for (x+3/2) = 0 is x coordinate, which is x = -3/2Solution for y value is the additional constant, which is y = -1/4Therefore the vertex (minimum point) is (-3/2,-1/4)
ii) The line of symmetry is x = -3/2 (a vertical line that runs through the vertex of the curve)

RI

Related Maths A Level answers

All answers ▸

What is 'grouping' and how does it work?


Solve the following equation: x^(3) - 6x^(2) + 11x - 6 = 0


Find the turning point of the line y = x^2 + 2x -1


How to differentiate using the Product Rule