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
Answer:
C. 5,166
Step-by-step explanation:
because of the word product, it means multiplication
Answer: D; B
Step-by-step explanation: 1 and 4 are alternate exterior angles if you use process of elimination, all the other pairs are, alternate exterior, corresponding or same side interior angles. angles 1 and 4 are in between lines a and b when lines a and b have the transversal of c. with process of elimination, c is the only logical answer, as 1 and 4 both lie on that line. which leaves you with two answers. if you draw out lines a and b with a transversal of c and the lines b and e with the transversal of c, then B is the only logical answer. goodluck :) i just finished this unit :D
Using the Factor Theorem, the polynomial is given by: 
- The graph is sketched at the end of the answer.
The <em>Factor Theorem</em> states that a polynomial function with roots 
is given by:
In which a is the leading coefficient.
In this problem, the roots are:
- Root of -4 with multiplicity 4, hence
.
- Root of -1 with multiplicity 3, hence
.
- Root of 5 with multiplicity 6, hence
Then:
- Positive leading coefficient, hence
.
- 13th degree, so it is odd.
Then:
At the end of the answer, an sketch of the graph is given.
For more on the Factor Theorem, you can check brainly.com/question/24380382
