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 .
Answer:
s>3
Step-by-step explanation:
Step 1: Flip the equation.
-4/3s <-4
Step 2: Multiply both sides by 3/(-4).
(3/-4) x (-4/3s) < (3/-4) x (-4)
s > 3
M = 5 and x = 4
3(5) - 2(4)
15 - 8 = 7
I hope this helps!
4(x² - 2) = 28
1. Distribute the 4
4x² - 8 = -28
2. Plug in 3 and -3
4(3)² - 8 = 28
4(-3)² - 8 = 28
3. Square 3 and -3
4(9) - 8 = 28
4(9) - 8 = 28
28 = 28
The reason both answers are the same is because whenever you put a negative number to an even power, the result becomes positive because any negative multiplied by a negative number is always positive.
28 = 28
