Answer:
The function is:
Step-by-step explanation:
If we have a function f(x) and we want to compress its graph vertically c units then we must do the transformation
Where .
If we want to make a transformation that moves horizontally h units the graph of f(x) then we must do:
If the graph of f(x) shifts h units to the left
If the graph of f(x) shifts h units to the right.
If we want to make a transformation that moves vertically k units the graph of f(x) then we must do
If the graph of f(x) moves k units up
If the graph of f(x) shifts k units down
In this case
If the transformation vertically compresses the function by a factor of and moves the function 3 units to the right and 2 units up then the transformation is:
The function is:
When you put this into standard form for a parabola, your equation (after much sweating and bleeding from the eyeballs) found by completing the square is:
, which has a vertex at (-2.4, 7.6). To find the distance that the directrix is from the vertex (which is also the same distance the focus is from the vertex) we use the fact that
(you can omit the negative in front of it cuz distance will always be positive), and
. Since this is an upside down parabola, the focus is under the vertex ("inside" the parabola) while the directrix is above it. The directrix is a horizontal line. Because it is a horizontal line, it is 5/32 above the y-coordinate (or k) or the vertex. So we add 5/32 to the y-coordinate of the vertex to get 7.6+5/32 and that gives us a directrix of y = 7.76 rounded.
It could possibly be 1/8 or 1/4 idk
Answer:
K (2,-4)
L (4,-6)
J (2,-9)
Step-by-step explanation:
Answer:
1.1a+3.5b
Step-by-step explanation: