Recall that
Take it one piece at a time. For
, we can scale
by -5:
If we shift the argument by 1 and scale by -5, we have
so if we subtract this from
, we'll end up with
For the next piece, we can add another scaled and shifted step like
so that
For the last piece, we add one more term:
and so putting everything together, we get
:
Answer:
D. g(x) = (x+ 4)² + 6
Step-by-step explanation:
Here, the given function is f(x) = x²
Now,if a graph x² is translated by (h,k) where:
h = Translation done towards RIGHT
k = Translation done towards UP
Then the translated equation is given as:
y = (x-h)² + k .... (1)
Now here, the graph is translated 6 UNITS UP and 4 UNITS LEFT.
⇒ h = - 4 and k = 6
Substituting the value of h, k in (1) , we get:
g(x) = (x-(-4))² + 6 = (x+ 4)² + 6
⇒ g(x) = (x+ 4)² + 6
Hence, the equation of the translated function, g(x) is g(x) = (x+ 4)² + 6.
Answer:
8953.5 seconds
Step-by-step explanation:
Since the challenger descends at a rate of 4 feet per second, divide 35,814 by 4 to get the answer
7 feet per second, 172 minus 67 means he dropped 105 feet then divide that by how many seconds it took to get 7 fps.
Area = (theta/360)* pi * r^2
where theta is the angle of the sector
subs by your givens in the above equation
2.512 = (theta/360) * pi * (4)^2
theta = (2.512 * 360) /(pi*(4)^2)
theta = 18 degree
