Question 917165
I.Know General Shape of parent graph: {{{log(10, x^4))}}} Green (vertical asymptote x = 0)
II. Find Intercepts of {{{4log(4,(x+8))}}} 0r {{{log(4,(x+8)^4)}}} Note: {{{log(4,1)= 0}}}, that is: Note: {{{log(4,1^4)= 0}}}& Note: {{{log(4,(-1)^4)= 0}}}
note: {{{4log(4,(8))}}}
{{{log(4,(8))}}} = 3/2  , (4^(3/2) = 8)
4(3/2) = 6
III. Plot (-9,0),(-7,0),(0,6), draw vertical asymptote x = -8  and sketch Blue
{{{drawing(300,300,   -20,10,-10,10,  blue(line(-8,-20,-8,10)) ,
 grid(1),
circle(-9, 0,0.4),
circle(-7,0,0.4),
circle(0,6,0.4),
graph( 300, 300, -20,10,-10,10,0, log(10,(x)^4), log(4,(x+8)^4)))}}}