Question
1 Homework \( g(x)=x^{2}+7 \quad \) Write your answer as a coordinate (x,y)
Ask by Ramirez Patel. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The coordinate is (0,7).
Solution
1. The function given is \( g(x) = x^2 + 7 \).
2. To find a coordinate, we can find the y-intercept. The y-intercept occurs when \( x = 0 \).
3. Substitute \( x = 0 \) into the function:
\[
g(0) = 0^2 + 7 = 7
\]
4. Thus, the coordinate is:
\[
(0,7)
\]
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Mind Expander
If you want to find a coordinate from the function \( g(x) = x^2 + 7 \), you can choose any value for \( x \) and calculate the corresponding \( y \) value. For example, if you let \( x = 2 \), then \( g(2) = 2^2 + 7 = 4 + 7 = 11 \). So one coordinate you could use is (2, 11). Alternatively, if you choose \( x = -3 \), then \( g(-3) = (-3)^2 + 7 = 9 + 7 = 16 \). This gives you another coordinate to play with: (-3, 16). The possibilities are endless!