SOLUTION: 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
Algebra.Com
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 the graph of y = x^2 and the graph shifted up 1 unit. Please do not show only the final graph.
y=x^2+12x
I can't figure out what this means. I have seen helpful sites over and over again and am still at a loss on how to solve this one. Please help.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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 the graph of y = x^2 and the graph shifted up 1 unit. Please do not show only the final graph.
y=x^2+12x
------------
Initial curve: y = x^2 with x intercepts at (0,0)
Domain: All Real Numbers
Range: All Real Numbers >= 0
---
Transposed form:
y = x(x+12) has x intercepts at (0,0) and (-12,0)
Domain: All Real Numbers
Range: All Real Numbers >= -36
-----
Both forms on same graph:
---------
Cheers,
Stan H.
RELATED QUESTIONS
Graph the following function using transformations. Be sure to graph all of the stages on (answered by MathLover1)
2. Graph the following function using transformations. Be sure to graph all of the stages (answered by stanbon)
Graph the following function using transformations. Be sure to graph all of the stages on (answered by stanbon)
Graph the following function using transformations. Be sure to graph all of the stages on (answered by josgarithmetic)
Graph the following function using transformations: Be sure to graph ALL of the staged... (answered by ewatrrr)
5. Graph the following function using transformations. Start with the basic function and... (answered by lwsshak3)
7. Graph the following function using transformations. Find the vertical and horizontal... (answered by lwsshak3)
13- Show work, graph the function using transformations, state domain, range and... (answered by KMST)
Graph the following function using the techniques of shifting, compressing, stretching,... (answered by sofiyac)