Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
or

Step-by-step explanation:
Vertex form of equation :
where (h, k) is the vertex of the parabola.

Hence, the vertex form of the equation is 
Answer:

Step-by-step explanation:
Givens
- The railing will begin at 36 inches height.
- The slant decreases 9 inches for every 12 horizontal inches.
According to the problem, the slant is

The initial condition of the function is 36, which is a constant. Also, the slant is negative, because the problem states that "decreases".
If we see the problem form the perspective of a linear function, the constant ratio of change would be the slant.
Therefore, the linear function that models this problem is

So, the answer is the first choice.
Answer:

Step-by-step explanation:
When the line goes through the origin (0, 0), we can say that y is proportional to x. Then the ratio of y (the vertical measure) to x (the horizontal measure) is the same as the ratio of "rise" (the vertical change) to "run" (the horizontal change).
y/x = rise/run = 1/4
The equation of the line is ...
y/x = 1/4
Answer:
Step-by-step explanation:
This question is too difficult