Question

Calculate the slope of the parabola at a point (x, y) obtained by plotting the following function: y=x^2+2x+4
1)2x+2
2) +2x
3)−1.5x
4)0.5

Answer 1

Answer:

y=x^2+2x+4

y=(x+2)^2

put x=0 we get y=(0+2)^2=4

when x=0,y=4====>(x1,y1)=(0,4)

put x=-2,we get y=(-2+2)^2=0

when x=-2,y=0===>(X2,y2)=(-2,0)

slope of a curve=(y2-y1)/(x2-x1) or (y1-y2)/(x1-x2)

(y2-y1)/(x2-x1)=(0-4)/(-2-0)=-4/-2=-2

slope of the curve is -2