Let g(x) = 4 - x^2. Translate the graph, and give new range.

[wilc0919]

I will put the question and then what I amswered. Please tell me if I answered correctly.

Let g(x) = 4 - x^2

a) Write a function that will translate the graph of g(x) three units to the right and one unit up.

I ANSWERED 6x - x^2 - 4

b) Give the range of the new function.

I ANSWERED y < -4

AM I CORRECT? Please help, this is for a grade!

 

[wilc0919]

DID I get this right????

No one has said if I am correct or not here?

Does anyone know????

 

[tkhunny]

Gee, you waited almost a whole hour in the middle of the night. Patience. If you want instant turn around, there are paid sites where you might get that.

Both answers are incorrect. It is sad that you did not show us your work, so we are not able to tell you where you wandered off.

 

[Mrspi]

Re: Let g(x) = 4 - x^2. Translate the graph, and give new ra

I will put the question and then what I amswered. Please tell me if I answered correctly.

Let g(x) = 4 - x^2

a) Write a function that will translate the graph of g(x) three units to the right and one unit up.

I ANSWERED 6x - x^2 - 4

b) Give the range of the new function.

I ANSWERED y < -4

AM I CORRECT? Please help, this is for a grade!

A couple of points first: We are all volunteers here. And, most of us sleep SOME of the time (and normally at night).

I think you need to write your answer in this form:
g(x) = 6x - x^2 - 4

Or, you could have given your answer in "vertex form" as
g(x) = -1(x - 3)^2 + 5

If you had used vertex form, you would have recognized that your range is incorrect. The graph of this function is a parabola which opens downward; the graph has a maximum value at its vertex. The vertex is at (3, 5), so the maximum value for y is 5. The range is all real numbers less than or equal to 5:

y < 5

As was pointed out to you in a response to one of your other posts, if you want instant 24/7 response to your questions, you can probably find a website which will accomodate you (for the right amount of money!).