Answer: 6 units to the right and 6 units down
Step-by-step explanation:
Every point of the original figure is translated 6 units right and 6 units down to form triangle A’B’C’. So, the translation that maps the original figure to the translated figure is 6 units right and 6 units down.
It is important so you can be more fluent or faster in knowing bigger problems
Given:
Amplitude = 2
Midline = 5
Period of 
.
To find:
The cosine function.
Solution:
The general cosine function is:
...(i)
Where, |A| is amplitude, 
is period, 
is phase shift and D is the mid line.
Period of function is . So,
Substituting 
in (i), we get
Therefore, the required cosine function is .
Answer:
h=21
Step-by-step explanation:
h=1.5t+3
h=1.5(12)+3
h=18+3
h=21
Answer:
slope of the parallel line = 8
Step-by-step explanation:
Parallel lines have the same slope. To determine the equation of the other line, you need to transform the given linear equation into its slope-intercept form, y = mx + b:
-8x + y = 2
Add 8x to both sides to isolate y:
-8x + 8x + y = 8x + 2
y = 8x + 2 (this is the slope-intercept form where the slope (m) = 8, and the y-intercept (b) = 2).
Given that the slope of the first equation is 8, then we can assume that the slope of line parallel to -8x + y = 2 will also be 8.
