college algebra

posted by .

graph the following function using transformations, be sure to graph all of the stages on one grph, state the domain and range y= x^2 +12x

• college algebra -

y = x(x+12)
so the x-intercepts are 0 and -12
and the x of the vertex must be halfway between those intercepts
x of vertex is -6
then y = 36 - 6(12) = -36

vertex is ((-6,-36), opens up, and has x-intercepts of 0 and -12

domain: obviously any value of x
range: y ≥-36

Similar Questions

1. College Algebra

Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the domain and range. y = -SQRT x - 6. My instructor is saying that I have to do more than one graph. Can anybody help me I …
2. College Algebra

Graph the function using transformations. Show your work and state a) the domain b) the range c) the asymptotes f(x) = 3 - 1/(x + 4)^2
3. college algebra

graph the function using transformations, show and state , a) the domain, B) range c) the asymptotes F(x)= 1/x^2-4 please show work!
4. College algebra

graph the function using transformations, show and state , a) the domain, B) range c) the asymptotes F(x)= 1 ----- -4 x^2 please show work!
5. college algebra

graph the following function using transformations, be sure to graph all of the stages one graph, state the domain and the range y=x^2+12x
6. college algebra

Graph the following function using transformations.  Be sure to graph all of the stages on one graph.  State the domain and range.    For example, if you were asked to graph  y= x^2+11 using transformations, you would show …
7. college algebra

Question 638522: Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the domain and range. For example, if you were asked to graph y= x^2+ 1 using transformations, you would show …
8. calculus

graph the following function using transformations. Be sure to graph all the stages on one graph. state the domain and range. y= -3/x/+1 NOT QUITE SURE HOW TO MAKE THE STRAIGHT UP AND DOWN LINE, INSTEAD OF THIS--/.
9. pre calculus

2. Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the domain and range. y= -2 lxl +2 For example, if you were asked to graph y= x^2 + 1 using transformations, you would show …
10. math

Graph the function f(x)=6-1/(x+4)^2 using transformations. State: a.the domain b.the range c.the asymptotes i do not get this at all, i am totally lost! please help!!!

More Similar Questions