I do not understand how to do any of this (please help): Use transformations of F(x)=x^2 to graph the following function: a) g(x)=-4(x+2)^2+3 b) g(x)=2(x+4)^2-5 c) g(x)= (x-6)^2+5 ; using the given graph of the function f, find the following: a) the intercepts, if any b) domain and range c) intervals on which is increasing, decreasing, or constant d) whether its odd, even, or neither

Question

I do not understand how to do any of this (please help): Use transformations of F(x)=x^2 to graph the following function: a)  g(x)=-4(x+2)^2+3  b)  g(x)=2(x+4)^2-5  c)  g(x)= (x-6)^2+5 ; using the given graph of the function f, find the following: a) the intercepts, if any  b) domain and range  c)  intervals on which is increasing, decreasing, or constant  d)  whether its odd, even, or neither

unklerhaukus · Answer

so can you graph F(x)=x^2?

unklerhaukus · Answer

g(x)=-4(x+2)^2+3

is like F(x) but the 4 makes it stretch out vertically,
the - makes if flip upside down, 
the +2 shifts the whole graph to the left two units
and the +3 shifts the the graph three units down two units