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:
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.