10 Y What is the vertical change from Point A to Point B? 9 8 What is the horizontal change from Point A to Point B? 7 6 What is
1 answer:
Answer:
0.5
Step-by-step explanation:
From the graph given ;
The vertical distance ; y - axis :
(y2 - y1) ; y2 = 2 ; y1 = 1
y2 - y1 = 2 - 1 = 1
The horizontal distance ; the x - axis :
(x2 - x1) ; x2 = 4 ; x1 = 2
x2 - x1 = 4 - 2 = 2
The slope ; the rate of change :
Change in y / change in x
The rate of change ;
(y2 - y1) / (x2 - x1) = 1 / 2
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Given:
The focus of the parabola is at (6,-4).
Directrix at y=-7.
To find:
The equation of the parabola.
Solution:
The general equation of a parabola is:
...(i)
Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.
The focus of the parabola is at (6,-4).
On comparing both sides, we get
...(ii)
Directrix at y=-7. So,
...(iii)
Adding (ii) and (iii), we get
Putting in (ii), we get
Putting in (i), we get
Therefore, the equation of the parabola is .