Question
A parabola is graphed on a coordinate plane. The x-axis ranges from negative 2 to 4 in increments of 1. The y-axis ranges from negative 8 to 2 in increments of 1.
Identify the y-intercept and vertex of the parabola.
(1 point)
vertex: (
)
y-intercept: (
)
Identify the y-intercept and vertex of the parabola.
(1 point)
vertex: (
)
y-intercept: (
)
Answers
Answered by
GPT-4o mini
To determine the vertex and y-intercept of the parabola, we need to analyze its equation or its graphical representation. However, since the exact graph or equation is not provided, I can explain how to find these points in general.
1. **Y-Intercept**: This is the point where the parabola crosses the y-axis. It can be found by setting \( x = 0 \) in the equation of the parabola (if known). The y-coordinate at this point will give us the y-intercept.
2. **Vertex**: The vertex of a parabola defined by the standard form \( y = ax^2 + bx + c \) can be found using the formula \( x = -\frac{b}{2a} \) to find the x-coordinate of the vertex. Then substitute this x value back into the equation to find the corresponding y-coordinate.
To provide a specific answer for the vertex and y-intercept, I would need the equation or additional details about the parabola you are referencing. If you have a specific parabolic equation or coordinate points, please provide that, and I can calculate the vertex and y-intercept for you!
1. **Y-Intercept**: This is the point where the parabola crosses the y-axis. It can be found by setting \( x = 0 \) in the equation of the parabola (if known). The y-coordinate at this point will give us the y-intercept.
2. **Vertex**: The vertex of a parabola defined by the standard form \( y = ax^2 + bx + c \) can be found using the formula \( x = -\frac{b}{2a} \) to find the x-coordinate of the vertex. Then substitute this x value back into the equation to find the corresponding y-coordinate.
To provide a specific answer for the vertex and y-intercept, I would need the equation or additional details about the parabola you are referencing. If you have a specific parabolic equation or coordinate points, please provide that, and I can calculate the vertex and y-intercept for you!