The current function equation is Y=1/3|x|
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The meaning relative f(x) = is the absolute value and is weighted by a factor 3 vertically.
If a constant (say a) multiplies the function, the parent will be extended vertically.
We have below vertical extension and compression conditions.
A > 1 = > spread vertically
0 < < 1 = > compression vertically
Therefore we will subtract the entire feature by 1/3 for vertical compression by a factor of 3.
The equation for the current function is then Y=1/3|x|
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<em>Hope this helps!</em>
<em />
<u>Brainliest would be great!</u>
<u />
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<u><em>With all care,</em></u>
<u><em>07x12!</em></u>
Answer:
the second option
Step-by-step explanation:
Answer:
f(g(x)) = 3x + 25
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Function Notation
- Function Composition
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x - 5
g(x) = x + 10
<u>Step 2: Find f(g(x))</u>
- Substitute: f(g(x)) = 3(x + 10) - 5
- Distribute 3: f(g(x)) = 3x + 30 - 5
- Subtract: f(g(x)) = 3x + 25
Answer: 8=x days
Step-by-step explanation:
(4/5)mile=((1/10)mile)(x days)
Let's cancel units...
(4/5)mile=((1/10)mile)(x days)
4/5=(1/10)x days
Let's proceed to isolate x by multiplying both sides by 10...
(10)(4/5)=(10)(1/10)(x days)
40/5=x days
8=x days
Answer: Choice H
y = -2x+3
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Explanation:
Start at any point you want on the diagonal line. Notice how we move down 2, right 1 to get to a neighboring point. This "down 2, right 1" motion determines the slope
- rise = go down 2 units
- run = go right 1 unit
slope = rise/run = -2/1 = -2
So m = -2 is the slope
Another way to find the slope is to use the slope formula for any two points on that diagonal line.
The y intercept is 3 because this is where the diagonal line crosses the y axis. This means b = 3.
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To summarize, we found that m = -2 is the slope and b = 3 is the y intercept.
We go from y = mx+b to y = -2x+3
