Answer:
look below
Step-by-step explanation:
y = 2 (x + 3)^2 - 2
Geometric figure: parabola
Alternate forms:
y = 2 (x + 2) (x + 4)
y = 2 (x^2 + 6 x + 8)
-2 x^2 - 12 x + y - 16 = 0
Expanded form:
y = 2 x^2 + 12 x + 16
Roots:
x = -4
x = -2
<u>Properties as a real function:
</u>
Domain
- R (all real numbers)
Range
- {y element R : y>=-2}
Partial derivatives:
d/dx(2 (x + 3)^2 - 2) = 4 (x + 3)
d/dy(2 (x + 3)^2 - 2) = 0
Implicit derivatives:
(dx(y))/(dy) = 1/(12 + 4 x)
(dy(x))/(dx) = 4 (3 + x)
Global minimum:
min{2 (x + 3)^2 - 2} = -2 at x = -3
The best thing to do here is to find a common factor in all 3.
24, 8 and 16 all have 8 in common- therefore, this will be outside the bracket
You then need to divide everything in the equation by 8, to find out what will go inside the bracket.
24/8= 3
8y/8= y
16w/8= 2w
Therefore, these go inside the bracket.
The factorisation os 24+8y-16w is 8(3+y-2w)
Hope this helps :)
Answer:
6 is my slope
Step-by-step explanation:
1-1
12 - 6 = 6 and that is my answer