Graphs of Quadratic Equations Practice

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Question
Use the image to answer the question.

A parabola is graphed on a coordinate plane. The x-axis ranges from negative 25 to 10 in increments of 5. The y-axis ranges from negative 10 to 60 in increments of 10.

Identify the vertex and axis of symmetry of the parabola.

(1 point)
axis of symmetry: x=

vertex: (
)

Remaining Attempts : 3
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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To identify the vertex and the axis of symmetry of a parabola, we generally need to analyze the graph.

1. **Vertex**: The vertex of a parabola is the highest or lowest point on the graph, depending on if it opens upwards or downwards. It is usually represented in coordinate form (x, y).

2. **Axis of Symmetry**: The axis of symmetry is a vertical line that passes through the vertex and divides the parabola into two mirror-image halves. Its equation is usually in the form \( x = k \), where \( k \) is the x-coordinate of the vertex.

Since you mentioned a graph, if you can visually identify the peak or trough of the parabola and read off the coordinates, you can literally pick those values for the vertex and determine the axis of symmetry.

Without the actual graph, I can't give you specific numeric answers. However, if you can determine the vertex from the graph, you'll use its x-coordinate to state the axis of symmetry.

Please provide the vertex coordinates you see on the graph, and I can help confirm your answers!