What is the imgae point of (-2,-3) after a translation right 2 units and 4 up units?
1 answer:
the image point of (-2,-3) after a translation right 2 units and 4 up units is (0,1) .
<u>Step-by-step explanation:</u>
Here we have , to find the image point of (-2,-3) after a translation right 2 units and 4 up units . Let's find out:
Initially we have the point as (-2,-3) , Following transformations are done :
a translation right 2 units :
The point is (-2,-3) , let . Translation is 2 units right , means there is change in x coordinate by +2 , i.e.
⇒
⇒
⇒
a translation 4 up units:
The point is (0,-3) , let . Translation is 4 units up , means there is change in y coordinate by +4 , i.e.
⇒
⇒
⇒
Therefore , the image point of (-2,-3) after a translation right 2 units and 4 up units is (0,1) .
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Answer :
Points at (1, 3) and (3, 3) and (2, 1)
Explanation:
The original graph (dashed) is an absolute value function meaning f(x) = |x|
<u>Given:</u> y = 2f(x - 2) + 1
f(x - 2) means you plug in x - 2 for x in f(x) function
the new graph equation is: y = 2|x - 2| + 1
- The graph will shift up 1 because +1
- The graph will shift right because -2
- The graph has a scale factor of 2
- The graph is V shaped because it is an absolute value graph
Learn more about Absolute Value here: brainly.com/question/729268
<u>Visual:</u>
Given:
First term of an arithmetic sequence = 5
Second term = 3
To find:
The explicit formula for the given arithmetic sequence.
Solution:
We have,
First term:
Second term:
Common difference is
Now, the explicit formula for an arithmetic sequence is
where, a is first term and d is common difference.
Putting a=5 and d=-2, we get
It can also be written as
Here, n is an integer greater than or equal to 1.
Domain is the set of input values.
Therefore, the explicit equation is or
and domain is all interest greater than or equal to 1.