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 ![y = secx](https://tex.z-dn.net/?f=y%20%3D%20secx)
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: Each piece is 1 2/3 inch length.
Step-by-step explanation:
Total length of cookie dough =10-inch
Since it is being into divided into 6 equal-length pieces
We have that each piece will have=1 0-inch / 6 = 5/3 = 1 2/3 inch length.
147 63 82 101 155 160 175 92 116 138 74 93 110 162 154 105 97
The frequency to her third group is 80 - 99.
Answer:
D(2,2)
Step-by-step explanation:
The diagonals of a parallelogram gram bisects each other.
Therefore E is the midpoint of AD.
Let the coordinates of D be (a,b).
By the midpoint rule:
![( \frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}) = ( - 2, \frac{1}{2} )](https://tex.z-dn.net/?f=%28%20%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%20%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%29%20%3D%20%28%20-%202%2C%20%5Cfrac%7B1%7D%7B2%7D%20%29)
This implies that:
![( \frac{ - 6+a}{2} ,\frac{ - 1+b}{2}) = ( - 2, \frac{1}{2} )](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B%20-%206%2Ba%7D%7B2%7D%20%2C%5Cfrac%7B%20-%201%2Bb%7D%7B2%7D%29%20%3D%20%28%20-%202%2C%20%5Cfrac%7B1%7D%7B2%7D%20%29)
This implies that:
![( \frac{ - 6+a}{2} = - 2 ,\frac{ - 1+b}{2} = \frac{1}{2} )](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B%20-%206%2Ba%7D%7B2%7D%20%3D%20%20-%202%20%2C%5Cfrac%7B%20-%201%2Bb%7D%7B2%7D%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%29%20)
![( - 6+a =- 4 , - 1+b = 1 ) \\ ( a =- 4 + 6 , b = 1 + 1 ) \\ ( a =2 , b =2 )](https://tex.z-dn.net/?f=%20%28%20-%206%2Ba%20%3D-%204%20%2C%20-%201%2Bb%20%3D%201%20%29%20%20%5C%5C%20%28%20a%20%3D-%204%20%2B%206%20%2C%20b%20%3D%201%20%2B%201%20%29%20%20%5C%5C%20%28%20a%20%3D2%20%2C%20b%20%3D2%20%29%20)