Find the turning point of the graph y = x2^ + 3x − 10

the turning point of curve is when the gradient of the curve is 0. to find the gradient of the curve, we need to differentiate the curve.y = x2 + 3x - 10dy/dx = 2x + 3gradient = 2x + 3 = 02x = -3x = -1.5now we have the x coordinate of the curve turning point, sub this value back into curve equation to get y valuey = (-1.5)2 + 3(-1.5) - 10y = -12.25so coordinates of turning point = (-1.5, -12.25)

EG

Related Maths GCSE answers

All answers ▸

The rectangles A and B have perimeters of 94cm and 56cm as shown below (insert diagram). Rectangle A: base = 2x cm, height = 3y cm. Rectangle B: base = (x+6)cm, height = (y+4)cm. Use an algebraic method to calculate the area of each rectangle. (8 marks)


Solve the quadratic equation x^2+5x+6=0


simplify 36^(-1/2)


What is 3/5 of 65.