Answer:
D. 
Step-by-step explanation:
The vertex form of the equation of the parabola centered in the origin, with axis of symmetry in the x-axis and directrix in the first and second quadrants is described by the following formula:
, 
(1)
Where:
- Dependent variable.
- Independent variable.
- Focus distance.
If we know that vertex is located at (0, 0) and the directrix pass through (4, 0), then the focus distance (distance of the vertex with respect to that point) is -4, and the equation of the parabola is .
Hence, the right choice is D.
2x³+18x²<span>-18x-162 =
2(</span>x³+9x²-9x-81)=
2(x²(x+9)-9(x+9))=
2(x²-9)(x+9)=
2(x+3)(x-3)(x+9)
Answer: k=3
Answer:
a) (x+2)^2-2
Step-by-step explanation:
write in form of x^2+2ax+a^2
2a=4
a=2
so
x^2+4x+2^2
we will now convert into the form:
x^2+2ax+a^2=(x+a)^2
substitute the values:
x^2+4x+2^2=(x+2)^2
(x+2)^2-2+2^2
(x+2)^2-2
Answer:
<em>x=25/16</em>
Step-by-step explanation:
<u>Approximate Roots of Functions:</u>
We are required to find the root of
Let's construct a function
Reducing:
The equation will have a solution when f(x)=0. We'll start from the approximate crossing point given in the graph (x=1.5)
We'll move up on x=1.52
We are closer to the solution, let's try some more up
This value x=1.54 is close enough to the solution of the original equation
From the options given, 
is the closest to our solution
Answer:
Lol
Step-by-step explanation:
