Math / Geometry

Question $9 / 19$
Does this graph have a maximum or minimum value? maximum neither minimum both

Studdy Solution

STEP 1

1. The graph is a parabola.
2. The parabola opens upwards.
3. The vertex of the parabola is at the bottom of the graph.

STEP 2

1. Identify the orientation of the parabola.
2. Determine the nature of the vertex.
3. Conclude whether the graph has a maximum or minimum value.

STEP 3

Identify the orientation of the parabola:
Since the parabola opens upwards, it indicates that the arms of the parabola extend upwards from the vertex.

STEP 4

Determine the nature of the vertex:
For a parabola that opens upwards, the vertex represents the lowest point on the graph, which is a minimum value.

STEP 5

Conclude whether the graph has a maximum or minimum value:
Since the vertex is the lowest point and the parabola opens upwards, the graph has a minimum value.
The graph has a:
$\boxed{\text{minimum}}$

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Question $9 / 19$
Does this graph have a maximum or minimum value? maximum neither minimum both

Studdy Solution

STEP 1

1. The graph is a parabola.
2. The parabola opens upwards.
3. The vertex of the parabola is at the bottom of the graph.

STEP 2

1. Identify the orientation of the parabola.
2. Determine the nature of the vertex.
3. Conclude whether the graph has a maximum or minimum value.

STEP 3

Identify the orientation of the parabola:
Since the parabola opens upwards, it indicates that the arms of the parabola extend upwards from the vertex.

STEP 4

Determine the nature of the vertex:
For a parabola that opens upwards, the vertex represents the lowest point on the graph, which is a minimum value.

STEP 5

Conclude whether the graph has a maximum or minimum value:
Since the vertex is the lowest point and the parabola opens upwards, the graph has a minimum value.
The graph has a:
$\boxed{\text{minimum}}$

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Question9/199 / 199/19Does this graph have a maximum or minimum value? maximum neither minimum both

Studdy Solution

STEP 1

1. The graph is a parabola.2. The parabola opens upwards.3. The vertex of the parabola is at the bottom of the graph.

STEP 2

1. Identify the orientation of the parabola.2. Determine the nature of the vertex.3. Conclude whether the graph has a maximum or minimum value.

STEP 3

Identify the orientation of the parabola:Since the parabola opens upwards, it indicates that the arms of the parabola extend upwards from the vertex.

STEP 4

Determine the nature of the vertex:For a parabola that opens upwards, the vertex represents the lowest point on the graph, which is a minimum value.

STEP 5

Conclude whether the graph has a maximum or minimum value:Since the vertex is the lowest point and the parabola opens upwards, the graph has a minimum value. The graph has a:minimum \boxed{\text{minimum}} minimum​

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question $9 / 19$
Does this graph have a maximum or minimum value? maximum neither minimum both

1. The graph is a parabola.
2. The parabola opens upwards.
3. The vertex of the parabola is at the bottom of the graph.

1. Identify the orientation of the parabola.
2. Determine the nature of the vertex.
3. Conclude whether the graph has a maximum or minimum value.

Identify the orientation of the parabola:
Since the parabola opens upwards, it indicates that the arms of the parabola extend upwards from the vertex.

Determine the nature of the vertex:
For a parabola that opens upwards, the vertex represents the lowest point on the graph, which is a minimum value.

Conclude whether the graph has a maximum or minimum value:
Since the vertex is the lowest point and the parabola opens upwards, the graph has a minimum value.
The graph has a:
$\boxed{\text{minimum}}$