You mean Y=x^2 + 4x + 4, this is quadratic function (convex parabola) which standard form is y=ax^2+bx+c
1. First we will find zero of the function, y=0 or as you like intersection with x axis. y=0 =>. x^2+4x+4=0 => this is the square of the binomial ( x + 2)^2 = 0 => x + 2 = 0 => x= -2 In this case it's a touch point with x axis. 2. Intersection with y axis => If x=0 => y=4 (0, 4) 3. The coordinate of vertex are x= - b/2a = - 4/2 = -2 and y=(4ac-b^2)/4a y= (4* 1*4 - 4^2)/ 4 = (16-16)/4= 0 Vmin ( -2, 0) this point is at same time zero of the function. 4. Domain:. Dx=R (field of real numbers) 5. Range: y belong to interval ( - infinite, 0) or R- 6. Function's sign y>0 => x belong to intervals (-infinite, -2) U ( -2, +infinite) 7. Function's growth or decline for x belong interval ( -infinite, -2) => function decline for x belong interval ( -2, +infinite) => function is growing
For this case we have the following equation: Density = mass / volume If the volume is the same, then the object with the greatest weight will be the one with the highest density. You must know the type of way to know the value of the density. Answer: The weight of the blocks will depend on the density if the volume is the same.
