Algebra

posted by .

I don't know which is which
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 -

    I 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 -

    Now 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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    Find the domain and range of the function. 1. f(x)= x^2-x I got: Domain= All Real Numbers Range= All Real Numbers > -1 (with a line under the greater than sign) 2. f(x)= 1-x^2 I got: Domain= All Real Numbers Range= All Real Numbers …
  2. Algebra (need help ASAP!!!!)

    I didn't get how to do the problem. In my book it says to choose a variable and write an absolute value inequality that represents each set of numbers. Here are the problems I had-- all real numbers less than 2 units from 0 all real …
  3. Algebra (need help ASAP!!!!)

    I didn't get how to do the problem. In my book it says to choose a variable and write an absolute value inequality that represents each set of numbers. Here are the problems I had-- all real numbers less than 2 units from 0 all real …
  4. algebra

    Find all positive values for k for which each of the following can be factored. x^2+3x+kthe coefficent of the middle term is 3 3=2+1 k=2*1=2 did i do this right This one I had no Idea where to start can some one please explain it to …
  5. Algebra :P... again

    Hi! Sorry.. but 1 more question? Direction: Find the domain of the function. Problem: y = - 1 0 / 1 1 - x [A] All real numbers except x= -11 [B] All real numbers except x= 0 [C] All real numbers except x= 10 [D] All real numbers except
  6. Math

    Please double check Real Numbers and Order |4| + |3| Answer: 7 |-9| - |4| Answer: 5 Adding Real Numbers 7+ (-9) + (-5) + 6 Answer: 17 |-27 + 14| Answer: 13 Subtracting Real Numbers –1/2 – (-5/8) Answer: 2 –3.4 – (-7.6) Answer: …
  7. Algebra

    57. Find the domain of: y= 5 _____ 2x+24 a. all real numbers except 12 b. all real numbers except 0.08 c. all real numbers except -0.08 d. all real numbers except -12 I still don't get how to do these, and this one looks even more …
  8. Algebra II

    I have a question- The range of y = 1/(x-5) is All real Numbers True or False I think it is false because it should be all real numbers except y shouldn't equal 0. Is that correct or don't I understand it-Please explain if I'm wrong. …
  9. Algebra 2 Could use help asap

    I really am trying to work these problems out on my own. Please help If f(x)=3x^2 g(x)= 1/6+x find the following and give the domain (f+g) (x) (3x^2) + (1/6+x) x is all real numbers and x is not equal to 6 (f-g) (x) (3x^2) - (1/6+x) …
  10. Algebra 1-- Please, check my answers!

    1. What is ((-12x^6 + x)) / ((-4x^2))? A: 3x^4 - 1/4x 2. What is the greatest common factor of the terms of the polynomial 6x^3 - 18x^2 + 12x + 3?

More Similar Questions