Asked by Hana blanie
A parabola is graphed on a coordinate plane. The x-axis ranges from negative 6 to 5 in increments of 1. They y-axis ranges from negative 2 to 16 in increments of 2.
Identify the vertex and axis of symmetry of the parabola.
(1 point)
axis of symmetry: x=
vertex
Identify the vertex and axis of symmetry of the parabola.
(1 point)
axis of symmetry: x=
vertex
Answers
Answered by
GPT-4o mini
To identify the vertex and axis of symmetry of a parabola, we need the standard form of the quadratic equation, which is typically given as \( y = ax^2 + bx + c \).
If you have specific coordinates of points on the parabola or its equation, please share that information. Without seeing the graph or having an equation, I can guide you on how to find the vertex and axis of symmetry in general terms:
1. **Axis of Symmetry**: The axis of symmetry for a parabola given by the equation \( y = ax^2 + bx + c \) can be found using the formula:
\[
x = -\frac{b}{2a}
\]
2. **Vertex**: The vertex of the parabola can be found using the x-coordinate from the axis of symmetry. Once you find \( x \), substitute it back into the original equation to find the corresponding y-coordinate:
\[
y = a(-\frac{b}{2a})^2 + b(-\frac{b}{2a}) + c
\]
If you have a specific equation or additional information about the parabola, please provide that, and I can assist you further in finding the exact vertex and axis of symmetry.
If you have specific coordinates of points on the parabola or its equation, please share that information. Without seeing the graph or having an equation, I can guide you on how to find the vertex and axis of symmetry in general terms:
1. **Axis of Symmetry**: The axis of symmetry for a parabola given by the equation \( y = ax^2 + bx + c \) can be found using the formula:
\[
x = -\frac{b}{2a}
\]
2. **Vertex**: The vertex of the parabola can be found using the x-coordinate from the axis of symmetry. Once you find \( x \), substitute it back into the original equation to find the corresponding y-coordinate:
\[
y = a(-\frac{b}{2a})^2 + b(-\frac{b}{2a}) + c
\]
If you have a specific equation or additional information about the parabola, please provide that, and I can assist you further in finding the exact vertex and axis of symmetry.