Functions Help: f(-4)=4, f(0)=-5, f(x)=0: Find 3 pts on graphs of f(x+1), f(x)+5

[LiddellSuite]

I hope this is the right category.

I need help understanding this problem. It's practically gibberish to me, and I cannot find anything in my textbooks, or through google that have helped me understand. If anyone knows what this is and how I solve it, please help....

 

[BigBeachBanana]

I hope this is the right category.

I need help understanding this problem. It's practically gibberish to me, and I cannot find anything in my textbooks, or through google that have helped me understand. If anyone knows what this is and how I solve it, please help....

View attachment 34978

Have you tried Googling "function transformations"?

 

[Dr.Peterson]

I hope this is the right category.

I need help understanding this problem. It's practically gibberish to me, and I cannot find anything in my textbooks, or through google that have helped me understand. If anyone knows what this is and how I solve it, please help....

View attachment 34978

I would guess that you have learned about transformations of functions.

What transformation of f(x) is represented by f(x+1)?

What happens when you apply that transformation to the three given points on the graph?

 

[The Highlander]

I hope this is the right category.

I need help understanding this problem. It's practically gibberish to me, and I cannot find anything in my textbooks, or through google that have helped me understand. If anyone knows what this is and how I solve it, please help....

This may help you to 'visualise' what's going on.... ?

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[Steven G]

I will do a similar problem for you.
Suppose that you know that f(5) = 19. That is, f(x) contains the point (5,19)
If I give you f(x+1): if x=4, then x+1=5 and we know what f(5) equals--it equals 19.
So (4,19) will be a point on f(x+1)

 

[Harry_the_cat]

@LiddellSuite
I notice that in your post title you have f(x+5) whereas in the question it says f(x)+5.
These are NOT the same and indicate different transformations. It is important to read the mathematical notation correctly.

 

[stapel]

@LiddellSuite
I notice that in your post title you have f(x+5) whereas in the question it says f(x)+5.
These are NOT the same and indicate different transformations. It is important to read the mathematical notation correctly.

That's my fault: I typoed the function while adding context to the original "Functions Help" subject line. It's fixed now.

Eliz.