Question
What is the vertex form of the graphed equation? The axis of symmetry is at (4, 8)
Answers
GPT-4o mini
The vertex form of a quadratic equation is given by the formula:
\[
y = a(x - h)^2 + k
\]
where \((h, k)\) is the vertex of the parabola.
In your case, the axis of symmetry is provided as (4, 8), which means that the vertex of the parabola is at the point (4, 8). Therefore, we can substitute \(h = 4\) and \(k = 8\) into the vertex form equation:
\[
y = a(x - 4)^2 + 8
\]
To determine the value of \(a\), you would need a specific point on the graph of the quadratic equation. If that information is available, you can substitute the values of \(x\) and \(y\) from that point into the equation and solve for \(a\). Without that, the equation remains in the form:
\[
y = a(x - 4)^2 + 8
\]
If you provide a specific point or more information about the graph, I could help you further.
\[
y = a(x - h)^2 + k
\]
where \((h, k)\) is the vertex of the parabola.
In your case, the axis of symmetry is provided as (4, 8), which means that the vertex of the parabola is at the point (4, 8). Therefore, we can substitute \(h = 4\) and \(k = 8\) into the vertex form equation:
\[
y = a(x - 4)^2 + 8
\]
To determine the value of \(a\), you would need a specific point on the graph of the quadratic equation. If that information is available, you can substitute the values of \(x\) and \(y\) from that point into the equation and solve for \(a\). Without that, the equation remains in the form:
\[
y = a(x - 4)^2 + 8
\]
If you provide a specific point or more information about the graph, I could help you further.