Using translation concepts, it is found that the equation of the transformed function is:
y = |x + 3| - 2.
<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 in it's definition.
The absolute value function is given by y = |x|, and has vertex at (0,0). After the transformations, the function has vertex (-3, -2), which means that:
- It was shifted 3 units to the left, hence x -> x + 3.
- It was shifted 2 units down, hence y -> y - 2.
Thus, the equation of the function is now given by:
y = |x + 3| - 2.
More can be learned about translation concepts at brainly.com/question/4521517
Multiplying is the opposite of dividing, so that's why you multiply it by the reciprocal.
1. 1/4 ÷ 3/8 is equivalent to 1/4 × 8/3
2. 1/3 × 8/3 = ?
3. 1 × 8 = 8
4. 3 × 3 = 9
Answer: x² + 4x +3=0
Step-by-step explanation:
Add 4x to both sides.
ANSWER
It would take 45 good years
<u>EXPLANATION</u>
We calculate simple interest using the formula,

From the question,
dollars
%
and
dollars
We substitute into the above formula






Therefore it would take 45 years.
Answer:
Check the explanation
Step-by-step explanation:
a) The following exponential model would fit the given dataset : 
b) To cool down to 110 degrees, it would take approximately 7.3 minutes based on the above model.