Answer:
For this case, the parent function is given by:
f (x) = x ^ 2
We apply the following transformations:
Horizontal translations:
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then for h = 5:
y = (x + 5) ^ 2
Vertical translations :
Suppose that k> 0
To graph y = f (x) -k, move the graph of k units down.
We then have for k = 9:
g (x) = (x + 5) ^ 2 - 9
Answer:
The graph of g (x) is the graph of f (x) 5 units to the left and 9 units to down
<h2>
Please mark me as brainlyist</h2>
X^2-4x+4
(x-2)(x-2) or (x-2)^2
Check:
-2-2=-4
-2*-2=4
Multiply the original DE by xy:
xy2(1+x2y4+1−−−−−−−√)dx+2x2ydy=0(1)
Let v=xy2, so that dv=y2dx+2xydy. Then (1) becomes
x(y2dx+2xydy)+xy2x2y4+1−−−−−−−√dxxdv+vv2+1−−−−−√dx=0=0
This final equation is easily recognized as separable:
dxxln|x|+CKxvKx2y2−1K2x4y4−2Kx2y2y2=−dvvv2+1−−−−−√=ln∣∣∣v2+1−−−−−√+1v∣∣∣=v2+1−−−−−√+1=x2y4+1−−−−−−−√=x2y4=2KK2x2−1integrate both sides
Slope = rise / run
rise = change in y
run = change in x
slope = 42 goals / 82 games = 21/41 goals/game ≈ 0.51