Answer:
(See explanation and attachment below for further details)
Step-by-step explanation:
The parabola must satisfy the following conditions:


The expression for the x-intercepts are, respectively:
x = -3
![4 = C\cdot [(-3)^{2} - 2\cdot k\cdot (-3)+k^{2}]](https://tex.z-dn.net/?f=4%20%3D%20C%5Ccdot%20%5B%28-3%29%5E%7B2%7D%20-%202%5Ccdot%20k%5Ccdot%20%28-3%29%2Bk%5E%7B2%7D%5D)

x = 5
![4 = C\cdot [5^{2}-2\cdot k \cdot (5)+k^{2}]](https://tex.z-dn.net/?f=4%20%3D%20C%5Ccdot%20%5B5%5E%7B2%7D-2%5Ccdot%20k%20%5Ccdot%20%285%29%2Bk%5E%7B2%7D%5D)

By equalizing both expressions:



And,


The equation of parabola is:

Whose graph is included as attachment.
Answer:
16-(4*x)-(4*x^2)+x^3
Step-by-step explanation:
(x+2)(x-2)(x-4)
16-(4*x)-(4*x^2)+x^3
Answer:
6
Step-by-step explanation:
Two triangles are congruent so we can use the similarity ratio to find the length of XZ
8x - 10 = 5x - 4 export like terms to the same side of equation
8x - 5x = 10 - 4
3x = 6 divide both sides by 3
x = 2 and so the length of XZ is 8*2 - 10 = 6
Length times width times height