Using translation concepts, the absolute value function with these characteristics is given by:
f(x) = |x - 2| + 4.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent absolute value function is given by:
f(x) = |x|
And has vertex at (0,0).
With the vertex at (2,4), we have that:
- The function was shifted 2 units right, hence x -> x - 2.
- The function was shifted 4 units up, hence f(x) - > f(x) + 4.
Hence the absolute value function with these characteristics is given by:
f(x) = |x - 2| + 4.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer: x=10
Step-by-step explanation: 7x10 =77. 90-77=13 which was shipping
Hey there! I'm happy to help!
We have two values for y. Since y=y, this means that −2x + 4 and − 1/3x − 1 are equal as well, so we can put them in an equation and solve for x.
−2x + 4 = − 1/3x − 1
We subtract 4 from both sides.
-2x=-1/3x-5
We add 1/3 x to both sides.
-5/3x=-5
We divide both sides by -1 2/3.
x=3
Now, we plug this into one of the original equations to find y.
y=-2(3)+4
y=-6+4
y=-2
Therefore, the solution is (3,-2) or x=3 and y=-2.
I hope that this helps! Have a wonderful day! :D
Answer:
4x^2y^4
Step-by-step explanation:
Factors of
4={1,2,4}
20={1,2,4,5,10,20}
Common factors:
1,2,4
4 is greater than 1 and 2
In terms of terms we will take terms with greater variables.
xy^2 x^2y^4
x^2y^4
Hope this helps ;) ❤❤❤
Answer:
the answer is the file below