SOLUTION: need help please using transformations g(x)=-21x1-2

Algebra.Com
Question 865747: need help please using transformations
g(x)=-21x1-2

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the graph of y = |x| in green



-----------------------------------------------------------------------

Then vertically stretch it by a factor of 2 (ie make twice as tall) to get the graph in blue. The blue graph is the equation of y = 2*|x|




-----------------------------------------------------------------------

Reflect that last blue graph over the x axis to get the graph in purple. The purple graph is the equation of y = -2*|x|





-----------------------------------------------------------------------

Finally, shift the purple graph down 2 units to get the graph in yellow. The yellow graph is the equation of y = -2*|x| - 2




-----------------------------------------------------------------------

Here is just the graph of y = -2*|x| - 2 in green



RELATED QUESTIONS

how do I graph g(x)=(x+2)^2 -3 using transformations of... (answered by josgarithmetic)
I need help with parent function transformations... (answered by checkley77)
Using the graph of f(x)= x^2 as a guide, describe the... (answered by haileytucki)
Please help me show all steps.Thanks Given f(x)=x^2 , after performing the... (answered by josgarithmetic)
Let g(x)=2(4)^x+3 - 5. a) describe the function as a transformation of f(x)=4^x. b)... (answered by FormerJosephStalin)
I need help solving this please. Thanks. Find (f-g) and (f+g)(3) for f(x)=2x^2+x+5 and (answered by Boreal)
Using the graph of f(x)=x^2 as a guide, describe the transformations, and then graph each (answered by solver91311)
Graph the function using transformations. State the domain, the range and asymptotes {{{ (answered by ewatrrr)
what is the graph of {{{f(x)=(-1/8)(x-5.6)^2+13.8}}} using transformations ?? thanks for... (answered by Math_Boss)