6. Point \#1: Create an extra point. Write your answer as a coordinate $$ (x, y) $$ without using any spaces. $$ f(x)=-(x+1)^{2}+2 $$

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UpStudy AI · Accepted Answer

To create an extra point for the function $$ f(x) = -(x+1)^{2} + 2 $$, we can choose a value for $$ x $$ and then calculate the corresponding $$ y $$ value using the function.

Let's choose $$ x = 0 $$:

1. Substitute $$ x = 0 $$ into the function:
   $$
   f(0) = -((0)+1)^{2} + 2
   $$

2. Calculate:
   $$
   f(0) = -(1)^{2} + 2 = -1 + 2 = 1
   $$

Thus, the coordinate for the extra point is $$ (0, 1) $$.

The final answer is:
$$
(0,1)
$$
(0,1)

6. Point \#1: Create an extra point. Write your answer as a coordinate \( (x, y) \) without using any spaces. \( f(x)=-(x+1)^{2}+2 \)

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