Math Is Fun Forum

nycguitarguy

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 566

Graph Transformation

Plot (-4, -2) and connect with a straight line to point (-2, -2).

Afterward, connect (-2, -2) with a straight line to point (2, 2).

Finally, connect (2, 2) with a straight line to point (4, -2).

After connecting all the points as instructed, the graph of a function will appear on the xy-plane. Use the graph of f as the first step toward graphing each of the following functions:

A. F(x) = f(x) + 3

B. G(x) = f(x + 2)

C. P(x) = -f(x)

How is this done?

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The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.

Dr. David Jeremiah

nycguitarguy

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 566

Re: Graph Transformation

Bob,

Can you graph this function for me using software? I will then proceed to answer each question using the graph.

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The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.

Dr. David Jeremiah

Bob

Administrator

Registered: 2010-06-20

Posts: 10,208

Re: Graph Transformation

The original is in red and F9x) in blue.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

nycguitarguy

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 566

Re: Graph Transformation

https://i.imgur.com/QQNHtmb.gif

The original is in red and F9x) in blue.

Bob

Bob,

You did A for me. Thanks.

To graph G(x) = f(x + 2), I must shift each point of the original function shown in red here two units to the left.

Yes?

To graph P(x) = -f(x), I must reflect each point of the original function shown in red here about the x-axis.

Yes?

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The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.

Dr. David Jeremiah

Bob

Administrator

Registered: 2010-06-20

Posts: 10,208

Re: Graph Transformation

Yes to both.

B

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

nycguitarguy

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 566

Re: Graph Transformation

Yes to both.

B

Wonderful to know I am right. Moving forward no more than 2 daily questions. Less questions means we can spend more time discussing solution steps.

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The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.

Dr. David Jeremiah