Quadratic Equations Online Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade.
17 of 2017 of 20 Items

Question
Use the image to answer the question.

A parabola is graphed on a coordinate plane. The x-axis ranges from negative 12 to 5 in increments of 1. The y-axis ranges from negative 5 to 12 in increments of 1.

Identify the vertex on the graph.

(1 point)
Responses

(0,5)
left parenthesis 0 comma 5 right parenthesis

x=−5
x equals negative 5

(−5,0)
left parenthesis negative 5 comma 0 right parenthesis

(0,−5)
left parenthesis 0 comma negative 5 right parenthesis
Remaining Attempts : 3
Skip to navigation

Answer 1

To identify the vertex of the parabola on the graph, you need to look for the highest or lowest point depending on whether the parabola opens upwards or downwards.

Without being able to see the specific graph you're referencing, a few general points are:

• The vertex of the parabola is a point on the graph that is either the maximum or minimum point.
• In a standard quadratic equation represented as \( y = ax^2 + bx + c \), if \( a > 0 \), the parabola opens upwards, and the vertex is the minimum point. If \( a < 0 \), the parabola opens downwards, and the vertex is the maximum point.
• The coordinates of the vertex are usually given in the form (x, y).

If the vertex is located at (−5, 0) or any other specified point, that means at x = -5, the y-coordinate is 0.

You will need to choose the option that corresponds correct location of the vertex based on the graph you see. Based on the options given, look for the coordinates that represent the vertex accurately on the graph:

• (0, 5)
• x = −5
• (−5, 0)
• (0, −5)

If you could provide details about where the highest or lowest point of the parabola is located according to the graph shown in your assessment, I could help you more accurately identify the vertex.