SOLUTION: i) Express {{{6 + 4x - x^2}}} in the form {{{a - (x + b)^2}}}, where a and b are integers. ii) Find the coordinates of the turning point of the curve {{{y = 6 + 4x

SOLUTION: i) Express {{{6 + 4x - x^2}}} in the form {{{a - (x + b)^2}}}, where a and b are integers. ii) Find the coordinates of the turning point of the curve {{{y = 6 + 4x - x^2}}} and de

Question 473619: i) Express in the form , where a and b are integers.
ii) Find the coordinates of the turning point of the curve and determine the nature of this turning point.
*Please answer as soon as possible bro :)
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi, 

Find the coordinates of the turning point of the curve 

  |Turning point is the Vertex of the Parabola

  y = -[x^2 - 4x] + 6

  y = -[(x-2)^2 - 4] + 6

  y = -(x-2)^2 + 10  V(2,10), the turning point

       a = -1 -1<0, Parabola opens downward, turning point is a maximum





 

RELATED QUESTIONS

Express x^2-5x+6 in the form of (x-a)^2-b. Hence state the coordinates of the turning... (answered by ewatrrr)
Find the coordinates of the turning point of the curve {{{y = 6 + 4x - x^2}}} (by... (answered by nerdybill,ewatrrr)
Given that f(x) = 2x^2 - 8x + 1. Express 2x^2 - 8x + 1 in the form a(x+b)^2 + c,where a... (answered by MathLover1)
a)f(x)=x2-8x+12.   b) f(x)=4x-x2
i) find where the parabola cuts the y-axis
ii) find... (answered by lwsshak3)
Express x^-8x+5 in the form (x-a)^-b where a and b are... (answered by Alan3354)
I need help with this please :)

equation is f(x)= x^2 - 4x - 3

a)Graph y=f(x) in... (answered by stanbon)
a)Express x^2 -10x + 32 in the form (x+a)^2 + b ,giving the values of a and b.
b)Sketch... (answered by Theo)
A rectangle has sides of length (2+ √18)metre and (5-4/√2)metres. Express in the form  (answered by Alan3354)
Please help me with this equation.

Express Each equation of no. 1 to 3 in the form... (answered by stanbon)