Answer:

Step-by-step explanation:
Please see the picture below.
1. Given the function f(x) = |x|, applying a vertical stretch with scale factor
, we have the transformed function:

2. Applying a translation of 3 units to the right, we have:

3. Finally applying a translation down of 1 unit, we have:

Answer:
- <u>No, he can get an output of 0 with the second machine (function B) but he cannot get an output of 0 with the first machine (function A).</u>
Explanation
The way each machine works is given by the expression (function) inside it.
<u>1) </u><em><u>Function A</u></em>
To get an output of 0 with the function y = x² + 3, you must solve the equation x² + 3 = 0.
Since x² is zero or positive for any real number, x² + 3 will never be less than 3 (the minimum value of x² + 3 is 3). So, it is not possible to get an output of 0 with the first machine.
<u>2) </u><em><u>Function B</u></em>
Solve 
So, he can get an output of 0 by using x = 4.
Answer:
6. 0
9. -36
12. -125
Step-by-step explanation:
hope it helped :)
The answer is 20x^2 + 14x + 2