# 9-1 Quadratic Graphs And Their Properties

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• 1.

### Which equation has a graph that is narrower than the graph of ?

B.
Explanation
The equation that has a graph narrower than the graph of another equation is the one with a larger coefficient in front of the x term. A larger coefficient in front of the x term causes the graph to be stretched horizontally, making it narrower.

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• 2.

### Find the coordinates of the vertex of the graph of . Identify the vertex as a maximum or a minimum.

• A.

(2, 0); maximum

• B.

(0,4); minimum

• C.

(0, 4); maximum

• D.

(2, 0); minimum

C. (0, 4); maximum
Explanation
The coordinates of the vertex of the graph are (0, 4). The fact that it is identified as a maximum indicates that the graph reaches its highest point at this vertex.

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• 3.

### What is the vertex of the parabola shown?

• A.

(-1, 0)

• B.

(0, -3)

• C.

(1, -4)

• D.

(3, 0)

C. (1, -4)
Explanation
The vertex of a parabola is the highest or lowest point on the curve. In this case, the vertex is given as (1, -4), which means that the parabola opens downwards and reaches its lowest point at x = 1 and y = -4.

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• 4.

• A.

A

• B.

B

• C.

C

• D.

D

C. C
• 5.

### Which equation corresponds to the graph shown?

C.

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• Current Version
• Mar 18, 2023
Quiz Edited by
ProProfs Editorial Team
• Feb 20, 2015
Quiz Created by
Courtney Frank