QuestionSelect the graph of $f(x)=-2$ and compare it with its parent function $f(x)=0$ .

Studdy Solution

STEP 1

Assumptions1. The parent function is $f(x) =0$ . The function we are interested in is $f(x) = -$
3. We are looking for the graph of these functions

STEP 2

First, let's understand the parent function $f(x) =0$ . This is a horizontal line passing through the origin (0,0). On a graph, it is represented as a straight line along the x-axis.

STEP 3

Now, let's understand the function $f(x) = -2$ . This is also a horizontal line, but instead of passing through the origin, it passes through the point (0,-2). On a graph, it is represented as a straight line parallel to the x-axis at y = -2.

STEP 4

To graph these functions, we first draw a set of axes. Label the x-axis and the y-axis.

STEP 5

To graph the parent function $f(x) =0$ , draw a straight line along the x-axis. This line represents all points where y =0.

STEP 6

To graph the function $f(x) = -2$ , draw a straight line parallel to the x-axis at y = -2. This line represents all points where y = -2.
The graph of the function $f(x) = -2$ is a horizontal line at y = -2, and the graph of its parent function $f(x) =0$ is a horizontal line at y =0.

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QuestionSelect the graph of $f(x)=-2$ and compare it with its parent function $f(x)=0$ .

Studdy Solution

STEP 1

Assumptions1. The parent function is $f(x) =0$ . The function we are interested in is $f(x) = -$
3. We are looking for the graph of these functions

STEP 2

First, let's understand the parent function $f(x) =0$ . This is a horizontal line passing through the origin (0,0). On a graph, it is represented as a straight line along the x-axis.

STEP 3

Now, let's understand the function $f(x) = -2$ . This is also a horizontal line, but instead of passing through the origin, it passes through the point (0,-2). On a graph, it is represented as a straight line parallel to the x-axis at y = -2.

STEP 4

To graph these functions, we first draw a set of axes. Label the x-axis and the y-axis.

STEP 5

To graph the parent function $f(x) =0$ , draw a straight line along the x-axis. This line represents all points where y =0.

STEP 6

To graph the function $f(x) = -2$ , draw a straight line parallel to the x-axis at y = -2. This line represents all points where y = -2.
The graph of the function $f(x) = -2$ is a horizontal line at y = -2, and the graph of its parent function $f(x) =0$ is a horizontal line at y =0.

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QuestionSelect the graph of f(x)=−2f(x)=-2f(x)=−2 and compare it with its parent function f(x)=0f(x)=0f(x)=0.

Studdy Solution

STEP 1

Assumptions1. The parent function is f(x)=0f(x) =0f(x)=0 . The function we are interested in is f(x)=−f(x) = -f(x)=−3. We are looking for the graph of these functions

STEP 2

First, let's understand the parent function f(x)=0f(x) =0f(x)=0. This is a horizontal line passing through the origin (0,0). On a graph, it is represented as a straight line along the x-axis.

STEP 3

Now, let's understand the function f(x)=−2f(x) = -2f(x)=−2. This is also a horizontal line, but instead of passing through the origin, it passes through the point (0,-2). On a graph, it is represented as a straight line parallel to the x-axis at y = -2.

STEP 4

To graph these functions, we first draw a set of axes. Label the x-axis and the y-axis.

STEP 5

To graph the parent function f(x)=0f(x) =0f(x)=0, draw a straight line along the x-axis. This line represents all points where y =0.

STEP 6

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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.

QuestionSelect the graph of $f(x)=-2$ and compare it with its parent function $f(x)=0$ .

Assumptions1. The parent function is $f(x) =0$ . The function we are interested in is $f(x) = -$
3. We are looking for the graph of these functions

First, let's understand the parent function $f(x) =0$ . This is a horizontal line passing through the origin (0,0). On a graph, it is represented as a straight line along the x-axis.

Now, let's understand the function $f(x) = -2$ . This is also a horizontal line, but instead of passing through the origin, it passes through the point (0,-2). On a graph, it is represented as a straight line parallel to the x-axis at y = -2.

To graph the parent function $f(x) =0$ , draw a straight line along the x-axis. This line represents all points where y =0.