Find max point of y=-x^2-5x-10

Can either differentiate or using the completing the square method. Differentiation not covered at GCSE so completing the square should be done to get -((x+5/2)2+15/4). To find the max point we need to find the minimum value of (x+5/2)2. This is 0 (due to square) which occurs when x=-5/2 in which case y=-15/4. This can easily be done by equating the x value to the negative of the value within the inner bracket and y value to the value in the outer bracket.

GR

Related Maths GCSE answers

All answers ▸

Solve 56x + 10 = 60 - 48x


Express 6x^2+4x-1 in the form a(x+b)^2+c


A cuboid has length x cm. The width of the cuboid is 4 cm less than its length. The height of the cuboid is half of its length. The surface area of the cuboid is 90 cm^2 . Show that 2x^2 − 6x − 45 = 0


Make y the subject of the formula x=(2y-1)/(4-y)