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Step 2: The vertex of the parent function is at (0, 0). Plot the vertex of the translated function two units to the right and four units down from (0, 0).

Sagot :

GinnyAnswer
To find the new vertex of the translated function starting from the parent function's vertex at (0, 0), we need to follow these steps:

1. Understand the translation parameters:
- We are required to move the vertex 2 units to the right.
- Also, we are required to move the vertex 4 units down.

2. Translation in the x-direction:
- Moving 2 units to the right means increasing the x-coordinate by 2.
- Initial x-coordinate: 0
- New x-coordinate: [tex]\(0 + 2 = 2\)[/tex]

3. Translation in the y-direction:
- Moving 4 units down means decreasing the y-coordinate by 4.
- Initial y-coordinate: 0
- New y-coordinate: [tex]\(0 - 4 = -4\)[/tex]

4. Combine the new coordinates:
- The new vertex is therefore (2, -4).

So, after translating the vertex 2 units to the right and 4 units down, the new vertex of the function will be at (2, -4).
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