Answer:
This is solved by Distance Formula
D²=(x2_x1)²-(Y2-y1)²
So D²= (-5-0)²-(1-1)²
D²=25
We can solve D by square root so
D=5
the Distance or length between a and b was 5
you can solve for c and d in a such way
Thanks in Advance
Nahom Wondale
The equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
<h3>The sinusoidal function</h3>
The minimum and the maximum of the function are
The amplitude (A) is calculated as:
A = 0.5 * (Maximum - Minimum)
So, we have:
A = 0.5 * (-5 + 1)
A = -2
The vertical shift (d) is calculated as:
d = 0.5 * (Maximum + Minimum)
So, we have:
d = 0.5 * (-5 - 1)
d = -3
The period (P) is calculated as:
P = 2π/B
From the graph,
B = 1
So, we have:
P = 2π/1
P = 2π
So, the amplitude is -2 and the period is 2π.
<h3>The equation of the sine function</h3>
In (a), we have:
A = -2
B = 1
d = -3
A sine function is represented as:
y = A sin(Bx + C) + D
So, we have:
y = -2sin(x + C) - 3
The graph passes through the point (0, -5)
So, we have
-5 = -2sin(0 + C) - 3
Solve for C, we have
C = 1.5
So, we have:
y = -2sin(x + 1.5) - 3
Hence, the equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
Read more about sinusoidal function at
brainly.com/question/10700288
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Answer:
discount = 290 × <u>1</u>
4
= 72.50
new price is
290.00
<u>72.50</u> -
217.50
Huh? What does that even mean lol
Answer:
The correct option is the last one.
Step-by-step explanation:
To transform the graph of 
into 
the following steps are fulfilled:
1) Move the graph 2 units to the right:
Let 
then 
Notice that the cut point has been moved to x = 2.
2) Reflect on the x axis:
To reflect a graph on the x-axis we do 
Then 
3) Stretch according to factor 2.
For this we do 
Then we have 
4) Move up the graph in two units:
We do 
Then 
These steps coincide with those listed in the last option. Therefore the correct option is the last one.
"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"
