What is the image of the point (-5,-9) after a rotation of 90 degrees counterclockwise about the origin
1 answer:
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Answer:
Please check the explanation and attached graph.
Step-by-step explanation:
Given the parent function
y = |x|
In order to translate the absolute function y = |x| vertically, we can use the function
g(x) = f(x) + h
when h > 0, the graph of g(x) translated h units up.
Given that the image function
y=|x|+4
It is clear that h = 4. Since 4 > 0, thus the graph y=|x|+4 translated '4' units up.
The graph of both parent and translated function is attache below.
In the graph,
The blue line represents the parent function y=|x|.
The red line represents the image function y=|x| + 4.
It is clear from the graph that the y=|x| + 4 translated '4' units up.
Please check the attached graph.
Answer:
Carmen can make full servings.
Step-by-step explanation:
Given : Carmen mixes cups of water with
cups of juice to make punch.
Total quantity of punch Carmen made = total cup of water + cup of juice she mixes
Total quantity of punch Carmen made =
Solving , we get,
Total quantity of punch Carmen made =
taking LCM(2,8) = 8 , we get,
Total quantity of punch Carmen made =
Also, given She pours cup servings of punch.
Thus, cup of mixture makes 1 serving cup.
Using unitary method,
In unitary method we first find the value of a single quantity and then multiply it with the desired quantity.
1 cup of mixture makes serving cup.
cup makes =
cup makes =
Thus, She can make full servings.