Question 835529: Could someone please help?
g(x)=|x|-3
I need to find I need to find the intercept/vertex/start/end points. I also need the domain and range written in interval notation. Then I need to assume that it shifted 3 units upward and 4 units to the left and say how it effects the equation and incorporate the new numbers.
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! The function g(x) as given has the domain, all real numbers. The critical point is at x=0.
For  ,  ;
For  ,  .
The y-intercept is (0,-3).
g(x) has a minimum, vertex point (0,-3).
This means RANGE is  .
INTERVAL NOTATION:
Domain, (-oo, +oo).
Range, [-3, +oo).
Shift upward 3 units and 4 units to the left:
 , which is 
The given, function g(x)
The changed function, h(x)
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