Question
\[ g(x)=x^{2}+7 \] zoom in 8. What would be the AOS? Your answer should start with " \( x= \) "
Ask by Griffin Montgomery. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x=0 \)
Solution
\( x=0 \)
1. We start with the quadratic function \( g(x)=x^2+7 \).
2. In a quadratic function of the form \( ax^2+bx+c \), the axis of symmetry (AOS) is given by \( x=-\frac{b}{2a} \).
3. Here, \( a=1 \) and \( b=0 \). Substituting, we get:
\[
x=-\frac{0}{2(1)}=0.
\]
4. Therefore, the axis of symmetry is \( x=0 \).
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Simplify this solution Bonus Knowledge
The axis of symmetry (AOS) for a quadratic function in the form \( g(x) = ax^2 + bx + c \) can be found using the formula \( x = -\frac{b}{2a} \). In this case, \( a = 1 \) and \( b = 0 \), so the AOS is \( x = -\frac{0}{2 \cdot 1} = 0 \). Thus, the AOS is: \( x = 0 \)
