The parent function is ...
... f(x) = |x|
This is the absolute value function, equal x when x ≥ 0, and equal to -x when x < 0. Its graph has the shape of a V with the vertex at the origin and "legs" of slope ±1.
The function g(x) is the same function with 2 added. The addition of 2 moves every value of f(x) up 2 units, so translates the whole graph upward by 2 units.
If its the one under the one with a written answer(the first on blank at the top) its b. 20% did not arrive.
Answer:
answer 2) 24
Step-by-step explanation:
after the dilation pt D is (8,-32)
after the dilation pt E is (-16,16)
if you use the distance formula for these two points you get 
which simplifies to 24
Answer:
2 - 8i
Step-by-step explanation:
The additive inverse of something is basically the opposite of it. Another way to say this is that when you add the additive inverse to -2 + 8i, it will equal 0.
<u>An example:</u>
The additive inverse of 7 is -7 because not only is it the opposite, but also when you add 7 and -7, it equals 0.
<u>To solve</u>
So all you need to do is find the opposite of -2 + 8i. You can write it as:
-(-2 + 8i) With the negative in the front because we want to find the opposite.
This then equals:
2 - 8i
You can check your answer by adding -2 + 8i and 2 - 8i to see if it equals 0:
(-2 + 8i) + (2 - 8i) → and it does equal 0
<u>ANSWER:</u> 2 - 8i
Hope you understand and that this helps with your question! :)
Answer:
$39,851.25
Step-by-step explanation:
If the sales increase at a rate of 9% per year, this means it will be 109% of the previous year's value since 100% + 9% = 109%
109% in decimal form = 109/100 = 1.09
Therefore, the exponential function is:
, where 
is the number of years
So when 
,
After 8 years, annual sales = $39,851.25
