The vertex is at what coordinate?

Question image

Understand the Problem

The question asks to identify the coordinates of the vertex of the parabola shown in the graph. The vertex is the highest point on the curve.

Answer

$(-1, 4)$
Answer for screen readers

$(-1, 4)$

Steps to Solve

  1. Identify the vertex on the graph

The vertex is the highest point of the parabola. Visually locate this point on the provided graph.

  1. Determine the x-coordinate of the vertex

Read the x-coordinate of the identified vertex by looking at where the vertex aligns on the x-axis.

  1. Determine the y-coordinate of the vertex

Read the y-coordinate of the identified vertex by looking at where the vertex aligns on the y-axis.

  1. Write the coordinates as an ordered pair $(x, y)$

Combine the x and y coordinates found in the previous steps to express the vertex as an ordered pair.

From the picture, we can see that the coordinates of the vertex are $(-1, 4)$.

$(-1, 4)$

More Information

The vertex of a parabola is a crucial point. It represents the maximum or minimum value of the quadratic function.

Tips

A common mistake is misreading the graph, especially if the scale is not clear or if the vertex is not exactly on an intersection of grid lines. Another mistake could be mixing up the x and y coordinates.

AI-generated content may contain errors. Please verify critical information

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