Question 62438
Sketch the graph of y=5-(x+2)^3 and label the Y-intercept
Let x=0 to find the y intercept.
{{{y=5-(0+2)^3}}}
{{{y=5-(2)^3}}}
{{{y=5-8}}}
{{{y=-3}}}  Plot (0,-3)
The graph of y=x^3 looks like:
{{{graph(300,200,-10,10,-10,10,x^3)}}}
{{{y=highlight(5)-(x+2)^3}}}
The 5, tells you that your graph is shifted vertically up 5 units.
{{{y=5-(x+highlight(2))^3}}}
The +2 tells you that the graph is shifted 2 units to the left (notice that the horizontal shifts are opposite of the sign and the vertical shifts are with the sign.)
The - in front of the (x+2), tells you that the graph is upside down.
{{{graph(300,200,-10,10,-10,10,5-(x+2)^3)}}}
Sorry it took me so long to get back to this, the holidays bring unexpected visitors.  Hope this is in time to be useful.
Happy Calculating!!!