We performed the following operations:
![f(x)=\sqrt[3]{x}\mapsto g(x)=2\sqrt[3]{x}=2f(x)](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D%5Cmapsto%20g%28x%29%3D2%5Csqrt%5B3%5D%7Bx%7D%3D2f%28x%29)
If you multiply the parent function by a constant, you get a vertical stretch if the constant is greater than 1, a vertical compression if the constant is between 0 and 1. In this case the constant is 2, so we have a vertical stretch.
![g(x)=2\sqrt[3]{x}\mapsto h(x)=-2\sqrt[3]{x}=-g(x)](https://tex.z-dn.net/?f=g%28x%29%3D2%5Csqrt%5B3%5D%7Bx%7D%5Cmapsto%20h%28x%29%3D-2%5Csqrt%5B3%5D%7Bx%7D%3D-g%28x%29)
If you change the sign of a function, you reflect its graph across the x axis.
![h(x)=-2\sqrt[3]{x}\mapsto m(x)=-2\sqrt[3]{x}-1=h(x)-1](https://tex.z-dn.net/?f=h%28x%29%3D-2%5Csqrt%5B3%5D%7Bx%7D%5Cmapsto%20m%28x%29%3D-2%5Csqrt%5B3%5D%7Bx%7D-1%3Dh%28x%29-1)
If you add a constant to a function, you translate its graph vertically. If the constant is positive, you translate upwards, otherwise you translate downwards. In this case, the constant is -1, so you translate 1 unit down.
Answer:
6. A
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
David=x
Michelle=x-2
Karen=x-2+6=x+4
sum of ages=62
x+x-2+x+4=62
3x=60
x=20
age of Michelle=20-2=18
Answer:
-19
Step-by-step explanation:
Take the second term and subtract the first term to find what we are adding (or subtacting ) each time
-7 -(-3) =
-7+3
-4
We are subtracting 4 each time
Subtract 4 from the next term
-15 -4 = -19
The next term is -19
Answer:
y ∝ m and 1760 is a constant of proportionality.
Step-by-step explanation:
The relation between a distance in the yards (y) and the same distance in miles (m) is described by the equation y = 1760m.
So, the graph of the above equation passes through the origin(0,0) and it will be a straight line with a constant slope of 1760.
Therefore, a measurement in yards and a measurement in miles are in the relation of proportionality for the same distance.
Hence, y ∝ m and 1760 is a constant of proportionality. (Answer)
