19x-10x would be the answer
Answer:
Answer: d 12x^3 + 3
Step-by-step explanation:
This is a composite function. Just insert g(x) into the x of f(x)
f(x) = 3x
3(4x^2 + 1)
Distribute the three
3(4x^2 + 1)
12x^3 + 3
Answer:

In this special case we know that
and
and for this case we can add all the values 12+18 +12+18=60 and that represent the perimeter
Step-by-step explanation:
For this case we know that the perimeter is given by:

In this special case we know that
and
and for this case we can add all the values 12+18 +12+18=60 and that represent the perimeter
21.5 is because it’s counting the same from 0 and 21.5 is the highest number
Answer:

Step-by-step explanation:
The distance between the focus and the directrix is the vertical distance from the point to the line:
1 -(-3) = 4
The vertex is half that distance between the point and the line, so is at x=2 and ...
y = (-3 +1)/2 = -1
The vertical scale factor of the quadratic is 1/(4p) where p is the distance from vertex to focus. Here, that distance is 2, so the equation in vertex form is ...
y = (1/(4·2))(x -2)² -1
y = (1/8)(x -2)² -1
_____
<em>Check</em>
Any point on the parabola is equidistant from the focus and directrix. This is easily checked at the vertex, which is halfway between focus and directrix, and at the points having the same y-value as the focus. Those two points are (-2, 1) and (6, 1), both of which are 4 units from the focus and 4 units from the directrix.