Saturday

August 30, 2014

August 30, 2014

Posted by **Lori** on Saturday, March 29, 2008 at 3:34pm.

y=(x+9)^2-3

I know it is all real numbers, but i don't know if my answer should be

[-3,00)

or

(-9,00)

Can some one explain this?

- Algebra -
**Damon**, Saturday, March 29, 2008 at 4:09pmI do not know what your question is asking for so will describe the function.

This parabola opens up (holds water) because y gets big positive as x gets big positive or negative.

The axis of symmetry, and therefore x location of the vertex, is when the quantity (x+9) is zero. That is when x is -9

For example if you go one space left and right of x = -9, you should get the same y

well if x = -9-1 = -10, then y = 1-3 = -2

and if x = -9 + 1 = -8, then y = 1-3 = -2 sure enough the same.

Now to find the vertex, we already know that (x+9) is zero at x = -9 so we need y there, but it is obviously 0-3 = -3

so the location of the vertex is (-9,-3)

- Algebra -
**Damon**, Saturday, March 29, 2008 at 4:12pmNow about your "all real numbers" comment.

Yes, the domain of x is all real numbers, you can find a y for any old x.

However we can not find any y below the vertex at y = -3 because the whole parabola is above the vertex at (-9,-3)

Therefore the Range of y is y greater than or equal to -3

- Algebra -

**Related Questions**

Algebra - 57. Find the domain of: y= 5 _____ 2x+24 a. all real numbers except 12...

Algebra 2 Could use help asap - I really am trying to work these problems out ...

Algebra :P... again - Hi! Sorry.. but 1 more question? Direction: Find the ...

algebra - Find the domain and range of the function. 1. f(x)= x^2-x I got: ...

Algebra II - I have a question- The range of y = 1/(x-5) is All real Numbers ...

Math - Please double check Real Numbers and Order |4| + |3| Answer: 7 |-9| - |4...

Algebra (need help ASAP!!!!) - I didn't get how to do the problem. In my book it...

Math - Please double check me Dividing Real Numbers (-9)(5)/3 Answer: 15 4 – (-3...

Algebra (need help ASAP!!!!) - I didn't get how to do the problem. In my book it...

Algebra 2 - If f(x)=3^2 g(x)= 1/6+x find the following and give the domain (f+g...