Answer: c=19 and n=4
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Given : f(x)= 3|x-2| -5
f(x) is translated 3 units down and 4 units to the left
If any function is translated down then we subtract the units at the end
If any function is translated left then we add the units with x inside the absolute sign
f(x)= 3|x-2| -5
f(x) is translated 3 units down
subtract 3 at the end, so f(x) becomes
f(x)= 3|x-2| -5 -3
f(x) is translated 4 units to the left
Add 4 with x inside the absolute sign, f(x) becomes
f(x)= 3|x-2 + 4| -5 -3
We simplify it and replace f(x) by g(x)
g(x) = 3|x + 2| - 8
a= 3, h = -2 , k = -8
Example A, Step 1: Write a comparing the percent to the ratio of part to whole. ex- ?/25 = 28/100 *Notice that 25 is a factor of 100* Step 2: Find the multiplication factor. ex- ?*4 = 28 and 25*4 = 100 *Since 25*4 = 100, find what number times 4 equals 28* Step 3: Find the numerator. ex- 7/25 = 28/100 *Since 4*7 = 28, 28% of 25 = 7 Example B, Step 1: Write the percent as a fraction. ex-35% of 60 = 35/100 of 60 Step 2: Multiply. ex- 35/100 of 60 = 35/100x60=2100/100=21 *Simplify* Example C, Step 1: Write the percent as a decimal. ex- 5% = 5/100 = 0.05 Step 2: Multiply. ex- 180 * 0.05 = 9, 5% of 180 is 9.
-2m+15=45
-2m=45-15
-2m=30
2m=-30
m=-15