If you horizontally compress the exponential function f(x) = 2x by a factor of 3, which of these is the equation of the new func
tion???????
A. f(x) = 6x
B. f(x) = 2(3x)
C. f(x) = 5x
D. f(x) = 3(2x)
A. f(x) = 6x
B. f(x) = 2(3x)
C. f(x) = 5x
D. f(x) = 3(2x)
2 answers:
<h2>Answer:</h2>
Option: B is the correct answer.
The equation of the new function is:
B. f(x) = 2^{3x}
<h2>Step-by-step explanation:</h2>For a given function f(x) the transformed function:
g(x)=f(bx) gives a horizontal compression or stretch depending on b
if b>1 then the graph is compressed.
and if 0 < b <1 then the graph is stretched.
We are given a parent function f(x) as:
Here we have b=3
Hence, the equation of the new function will be:
Hence, the correct answer is : Option: B
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Answer:
104.127 m
Step-by-step explanation
In the question instead of chi, it would be kite.
Given: Distance of Brooke from the base of tree is 50 meters.
The kite is directly above the 10 m tree in the 125 m string is fully extended.
Lets assume the height of the kite be "x".
Its making the Right angle triangle with length of string as hypotenuse, height of kite above tree.
Using Pythagorean formula:
h²= a²+b²
⇒
⇒
⇒
Subtracting both side by 2500
⇒
Square rooting both side, we know√a²=a
⇒
∴ x= 114.127 meter.
Next, we know the value of x include the height of tree.
∴ Height of kite flying above tree=
⇒ Height of kite flying above tree=
Hence, the height of kite above the tree is 104.127 meters.