Math Is Fun Forum

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

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. H(x) = f(x + 1) - 2

B. Q(x) = (1/2)f(x)

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Graph Transformation

Bob,

Can you graph this function for me using software? I will then proceed to answer each question using the graph. Thanks again for your help and guidance.

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Graph Transformation

To graph H(x) = f(x + 1) - 2, I must move each point of the original function 1 point to the left and then shift the graph 2 units down on the y-axis.

To graph Q(x) = (1/2)f(x), I must multiply each y-coordinate of the original function by 1/2 and compress the new function vertically.

You say?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,637

Re: Graph Transformation

Yes to both.

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

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Graph Transformation

Yes to both.

Bob

I thank you for your dedication to my questions. I don't understand the lack of participation in this group. It doesn't seem right for one person to respond to questions from different members (mainly my questions). I want to see more people involved in math discussions here.