Question
\( h(x)=(x-6)^{2} \quad \begin{array}{l}\text { 11. What would be the AOS? } \\ \text { Your answer should start with "x=" } \\ \text { Typea response }\end{array} \)
Ask by Vega Blake. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x=6 \)
Solution
**Step 1:** The given function is in vertex form, \( h(x)=(x-6)^2 \).
**Step 2:** In the vertex form \( h(x)=a(x-h)^2+k \), the vertex is at \( (h,k) \). Here, \( h = 6 \) and \( k = 0 \).
**Step 3:** The axis of symmetry for a quadratic function in vertex form is the vertical line that passes through the vertex. Therefore, the axis of symmetry is given by \( x = h \).
**Answer:** \( x=6 \)
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Simplify this solution Mind Expander
The axis of symmetry (AOS) for a quadratic function in vertex form, such as \( h(x) = (x-6)^{2} \), can be determined from the expression inside the parentheses. For the given function, the AOS is simply \( x = 6 \). This means that the graph is symmetric around the vertical line \( x = 6 \). To visualize this, imagine a beautiful parabolic curve opening upwards, peaking at the vertex, which is at point \( (6, 0) \). Every point on the left side of this line has a mirror image on the right! So, when playing with the quadratic function, remember that the AOS is your trusty guide for symmetry.
