Given:
Reflect square JKLM with J(1, 4), K(6, 5), L(7, 0) and M(2, -1) in the y-axis.
To find:
The coordinates of M'.
Solution:
We have, M(2, -1) .
If a figure reflected over the y-axis then
Using this rule, we get
Therefore, the coordinates of point M' are (-2,-1).
This corresponds to a sinusoidal graph, we have:
Radius= 20 feet, that corresponds to the amplitud (A)
One revolution takes 24 seconds, that corresponds to the period
Min= 3 feet
k=360/24=15
D= bottom distance+ amplitud=3+20=23 feet
Then, let x be the time, in seconds:
a) To determine Reid's height after 1 minute= 60 seconds, substitute x=60
b) To determine when Reid's height will first reach 18 feet, we have to substitute y=18 feet, and isolate x:
Range of is [4,∞).
<u>Step-by-step explanation:</u>
Here we have , function , We need to find range of this function . Let's find out:
In the function , Let's focus on
: It's a perfect square whose value will be always positive and greater then equal to zero i.e.
⇒ , So minimum value of
is 0 at x=-3 . ∴
⇒
⇒
⇒
Minimum value of is 4 , And maximum value of
can be ∞ as value of x can be increased . Therefore , Range of
is [4,∞).