Answer:
Option c. Reflection across the x-axis and vertical stretch by a factor of 7
Step-by-step explanation:
If the graph of the function 
represents the transformations made to the graph of 
then, by definition:
If 
then the graph is compressed vertically by a factor a.
If 
then the graph is stretched vertically by a factor a.
If 
then the graph is reflected on the x axis.
In this problem we have the function 
and our paretn function is 
therefore it is true that
.
Therefore the graph of is stretched vertically by a factor of 7 and is reflected on the x-axis
Finally the answer is Option c
Answer:
inches
Step-by-step explanation:
The total length of pipe is 10 2/3rd inches
It is cut into 8 equal pieces
We need to divide total length by 8 to get length of each piece. First, we have to convert mixed number (total length) to improper fraction by using formula shown below:
So,
Each piece length is:
So, each piece is inches
Answer:
22
Step-by-step explanation:
The y values increase by 2 every time so 18+2=22
We are given the graph of sine function.
First, we get the amplitude
A = [6 - (-2)] / 2
A = 4
Next, we determine the period and b
T = 4 - 0 = 4
b = 2π / T
b = π/2
The original sine function was
y = 4 sin πx/2
After the transformation, the equation now is
y = 4 sin [π(x+2)/2] + 2
Answer:
11 mushrooms
Step-by-step explanation:
Let's take two sets of numbers that fulfill the requirements (2 and 24 | 5 and 27)
In the first case, there are 26 mushrooms, and to have an equal amount they each need 13. Collin had to give 11 mushrooms to Sophie.
In the second case, there are 32 mushrooms, and they both need 16 each. So in this case, Collin also had to give 11 to Sophie.
The answer is 11 mushrooms.
