calculate first and second differences of y=-5(x-2)squared+3

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- August 8th 2008, 06:02 AMeuclid2first and second differences
calculate first and second differences of y=-5(x-2)squared+3

- August 8th 2008, 06:35 AMCaptainBlack
- August 8th 2008, 06:38 AMeuclid2
The first part of the question A) ; given the following graph and the values of h and h, h=2,k=3 Determine its equations (there is a picture of a parabola with given points A(0,2); out of this i got its equation to be y=-5(x-2)squared+3

The second part(b) says to calculate the first and second differences of the equation - August 8th 2008, 06:58 AMCaptainBlack
- August 8th 2008, 07:03 AMeuclid2

Part B:)

11. A) Given the graph and the values of*h*and*k*,*h*= 2 ;*k*= 3 (graph unavailable so the point given is point (0,2) determine its equation.b. calculate the first and second differences for the equation.

- August 8th 2008, 07:06 AMDubulus
y=-5(x-2)squared+3

im going to assume that by difference you mean derivative.

1st derivative: -10(x - 2) via:

d/dx of z^n = n*z^(n-1)

i used z=(x-2) and n=2

the 3 gets dropped because the slope of a constant is 0.

simplify to y' = -10x + 20

the 2nd derivative is y''=-10

via the slope of y' is always -10.

hope that helps