Graphs of Quadratic Equations Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade.
4 of 54 of 5 Items

Question
Use the image to answer the question.

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: (
)

Remaining Attempts : 3
Skip to navigation

page 13 of 14

Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 1

To identify the vertex and the axis of symmetry of the parabola from a graph, you typically look for the highest or lowest point (the vertex) and the vertical line that splits the parabola into two identical halves (the axis of symmetry).

1. Vertex: This would be the point on the parabola where the curve changes direction. In a standard vertex form of a quadratic equation \(y = a(x - h)^2 + k\), the vertex is the point \((h, k)\).

2. Axis of Symmetry: This is a vertical line that passes through the vertex, given by the equation \(x = h\), where \(h\) is the x-coordinate of the vertex.

Since I can't see the image you're referring to, please provide the coordinates of the vertex or any specific points on the parabola that can help deduce its vertex and axis of symmetry, and I can help you find the answers!