1.B - - original function is y = sqrt(x). If we make sqrt(x+4), we will move the original function to the left 4. If we make sqrt(x+4)+3, additionally the original function will be moved up 3.
2.D - original function is y = sqrt(x). If we make sqrt(x-7), we will move the original function to the right 7. If we make 5*sqrt(x-7), additionally the original function will be expanded throw the y-axis.
3.E - original function is y = x^5. If we make -x^5 (multiply x^2 by -1), we will reflect the original function over the x-axis. If we make -x^5 - 4 , we additionally will move the original function down 4.
4.C - original function is y = x^2. If we make (x-3)^2, we will move the original function to the right 3. If we make x^2 - 5 , we will move the original function down 5.
5.A - original function is y = x^2. If we multiply x^2 by 1/3, function will be compressed about the y-axis.
<u>Answer:</u>
<u>Step-by-step explanation:</u>
<u>We know that:</u>
<u>Work:</u>
- [{6 + (1/2 x 6)} + <u>{8 + (1/2 x 8}</u> + {BC + (1/2 x BC) = 9 + <u>s</u> + YZ
- => s = 8 + (4)
- => s = 12
Hence, <u>the value of s is 12.</u>
Hoped this helped.

Answer:
The rate of return is 8%.
Step-by-step explanation:
The time span from 1794 to 2018 is (2018 - 1794) = 224 years.
Now, a penny i.e. 0.01 pounds of money as a principal gets the final sum of 345000 pounds after 224 years.
Here we have to calculate the rate of return if the interest is compounded yearly.
Using the formula of compound interest of r% APR, we get

⇒ 1 + 0.01r = 1.08
⇒ 0.01r = 0.08
⇒ r = 8% (Answer)
Answer: 525 cycles per second.
Step-by-step explanation:
The equation for inverse variation between x and y is given by :-
(1)
Given : The length of a violin string varies inversely with the frequency of its vibrations.
A violin string 14 inches long vibrates at a frequency of 450 cycles per second.
Let x = length of a violin
y= frequency of its vibrations
To find: The frequency of a 12 inch violin string.
Put
in equation (1) , we get
Divide both sides by 12 , we get

Hence, the frequency of a 12 inch violin string = 525 cycles per second.
Answer:
y=45+5
=50
Step-by-step explanation: