Posted by **John** on Wednesday, September 7, 2011 at 4:15pm.

The graph A(x) has points (-3,0), (0,-2), (1,0) and (2,3).

If C(x) is defined by C(x)=A(2x+3), then what is the domain and range of C and how would the graph of C(x) look like?

Also, is there any way to find what the actual equation of A(x) is with the points listed above? Thank you for the help!

- College Calculus -
**bobpursley**, Wednesday, September 7, 2011 at 5:30pm
consider A(x) = Ax^3+Bx^2+cx + D

A(-3)=0=-27A+9B-3C + D

A(0)=-2=D that is nice

A(1)=0=A+B+C+D

A(2)=....

so you can solve for the four constants A,B,C,D and you have an equation that fits the points....if all the points are allowed in the domain.

If C(x)=A(2x+3) domain is all values of x , and range is all numbers.

## Answer This Question

## Related Questions

- Calculus - The graph A(x) has points (-3,0), (0,-2), (1,0) and (2,3). If C(x) is...
- Calculus - The graph A(x) has points (-3,0), (0,-2), (1,0) and (2,3). If C(x) is...
- College Algebra - 1.Answer the following for the given quadratic function. f(x...
- college algebra - Graph the following function using transformations. Be sure ...
- Math 222 - This is the second part to my first question A quadratic function ...
- Math 222 - This is the second part to my first question A quadratic function ...
- college algebra - Question 638522: Graph the following function using ...
- calculus - graph this function and determine the domain,range and vertical ...
- algebra - what would a graph look like if.. y= (3/4)x + 2 and the domain is... x...
- pre calculus - I believe that the domain for f(x) = log subscript 3 (1-x) is x ...

More Related Questions