Answer:
Base on the vertex (h, k) and the distance p between vertex and directrix, the standard form of parabola is written as:
(x – h)^2 = 4*p(y – k)
We have (-1, -5) as vertex.
=> (x + 1)^2 = 4*p(y + 5)
Now, we find p:
The distance between (-1, -5) and x = -7 is calculated by:
|-1 -(-7)| = |6| = 6
=> (x + 1)^2 = 4*6(y + 5)
=> (x + 1)^2 = 24(y + 5)
Hope this helps!
:)
Answer:
464 $
Step-by-step explanation:
Answer:
![y = - \frac{1}{3} x + 4](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20x%20%2B%204)
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
The product of the gradients of perpendicular lines is -1.
Gradient of given line= 3.
(Gradient of line)(3)= -1
3m= -1
m= ![- \frac{1}{3}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20)
subst. m=
into the equation:
![y = - \frac{1}{3} x + c](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20x%20%2B%20c)
To find the value of c, substitute a coordinate.
When x=0, y=4,
![4 = - \frac{1}{ 3} (0) + c \\ 4 = c \\ c = 4](https://tex.z-dn.net/?f=4%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B%203%7D%20%280%29%20%2B%20c%20%5C%5C%204%20%3D%20c%20%5C%5C%20c%20%3D%204)
Thus the equation of the line is
.
Provide more info. And I would love to help