Get it in form 4P(y-k)=(x-h)^2
add 8y to both sides
x^2-6x+49=8y
complete the square
-6/3=-3, (-3)^2=9
(x^2-6x+9)+40=8y
(x-3)^2+40=8y
minus 40 both sides
(x-3)^2=8y-40
undistribute 8 on right side
(x-3)^2=(y-5)8
4P(y-k)=(x-h)^2
4(2)(y-5)=(x-3)^2
(h,k) is center
p is distance from vertex to directix and also from vertex to focus
p=2
vertex=(3,5)
in that form, the prabola opens up so
directix is 2 below vertex
focus is 2 above vertex
up and down is y so
5-2=3
5+2=7
directix is y=3
focus=(3,7)
vertex=(3,5)
To equal the step 2, we would have to determine that 20 was our new denominator and multiply the first fraction by 5, the second by 4 and the 2 by 20.
multiplied by sides of the equation by 20
Answer:
Step-by-step explanation:
n = 3 => f(n) = -4*-3+8 = -44
n= 0 => f(n) = -4*0+8 = 8
n= 2 => f(n) = -4*2+8 = 0
n= 7 => f(n) = -4*7+8 = -20
Answer:
1. 6x^2 + 4x - 4y
2. x - 10y.
3. 6x^5
4. 36 a^6 b^8
5. x^2 - 81
6. 9x^2 - 42x + 49
7. 12x^2 +3x - 42
Step-by-step explanation:
1. 3x^2+4x+3x^2-4y
Add the like terms, we get
6x^2 + 4x - 4y
2. (5x-2y)-(4x+8y)
Now distribute the negative sign, we get
5x - 2y -4x -8y
Simplify the like terms, we get
x - 10y.
3. 3x^3(2x)^2
Multiply the numbers and simplify the variables
6x^(3 +2)
6x^5
4. (-6a^3b^4)^2
Now bring the power 2 inside the parenthesis.
-6^2 a^6 b^8
= 36a^6b^8
5. (x+9) (x-9)
x^2 + 9x -9x - 81
x^2 - 81
6. (3x-7)^2
(3x - 7)(3x - 7)
9x^2 - 21x -21x + 49
9x^2 - 42x + 49
7. (3x+6) (4x-7)
12x^2 + 24x -21x - 42
12x^2 +3x - 42
Thank you.
