Given that th<span>e coordinates of the vertices of △DEF are D(2, −1) , E(7, −1) , and F(2, −3) and the coordinates of the vertices of △D′E′F′ are D′(0, −1) , E′(−5, −1) , and F′(0, −3) .
Notice that the y-coordinates of the pre-image and that of the image are the same, which means that there is a reflection across the y-axis.
A refrection across the y-axis results in the change in sign of the x-coordinates of the pre-image and the image while the y-coordinate of the image remains the same as that of the pre-image.
A refrection across the y-axis of </span>△DEF with vertices D(2, −1) , E(7, −1) , and F(2, −3)
will result in and image with vertices (-2, -1), (-7, -1) and (-2, -3) respectively.
Notice that the x-coordinate of the final image △D′E′F′ with vertices <span>D′(0, −1) , E′(−5, −1) , and F′(0, −3) is 2 units greater than the vertices of the result of recting the pre-image across the y-axis.
This means that the result of refrecting the pre-image was shifted two places to the right.
Therefore, </span>the sequence of transformations that maps △DEF to △D′E′F′ are reflection across the y-axis and translation 2 units right.
So basically from (-2,6) to (1,6)
The up and down translations applies to the y values
So from 6 to 6 nothing happened! so wasn't translated neither up nor down
And left and right applies to x values.
from -2 to 1
3 units positive that means 3 units right..
Hope it helps
Answer:
Step-by-step explanation:
we are given
center =(0,0)
we can compare with
center=(h,k)=(0,0)
so, h=0 and k=0
a=2 and b=5
now, we can use equation of hyperbola formula
now, we can plug values
we can simplify it
and we get equation of hyperbola as
Answer:
X < -3
Step-by-step explanation:
-x will be positive when x < -3
The formula for a cylinder V= pi r squared times the height. I should suppose you were told to abbreviate pi to 3.14. First do 6 to the power of 2 which is 36 then multiply it by 3.14 witch would be 113.04. Then multiply that by 11.5 which would be 1299.96
The answer is 1299.96
