Answer:
<em>D. a vertical transformation of f(x) four units downward</em>
Step-by-step explanation:
f(x) = |x|
In f(x), for every x value you input into x, you get a corresponding y value.
Now look at g(x) = |x| - 4
The part |x| of g(x) gives you the same y-value for each x value as you had in f(x). The part -4, makes each y-value 4 less than it was in f(x). Since every y-value is 4 lower than the corresponding y-value of f(x), the function g(x) is a vertical translation of f(x) four units downward.
Answer:
<h2> Here your ans</h2>
Step-by-step explanation:
<h3>Prime factorization of 60 </h3><h3>2×2×3×5=60</h3><h3>The actual prime factors of 60 are 2,3,5</h3>
<h2 /><h2>Hope it's helpfully </h2>
There’s no work for you to show
Using the general recursive formula, he 25-th term in the arithmetic sequence is 29.7
<h3>
How to find the value of a₂₅?</h3>
Here we have an arithmetic sequence with the first term a₁ = 3.3 and the common difference is d = 1.1
Remember that the general arithmetic recursive formula is:
aₙ = a₁ + (n - 1)*d
This formula allows us to find the n-th term of the arithmetic sequence only using the first term and the common difference.
In this case, we just need to replace n by 25 and the values written above.
a₂₅ = 3.3 + (25 - 1)*1.1 = 29.7
We can conclude that the 25th term in the sequence is 29.7
If you want to learn more about arithmetic sequences:
brainly.com/question/6561461
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The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
We have the equations in the standard form. Convert to the slope-intercept form:
<em>subtract 3x from both sides</em>

<em>add x to both sides</em>
<em>divide both sides by 3</em>

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We need only two points to plot a graph of each function.

for x = 0 and for x = -3:


for x = 0 and for x = -3:

Look at the picture.