SOLUTION: I need some help with Graphing Sketch the graph of y=5-(x+2)^3 and label the Y-intercept thank you for your time

Algebra ->  Graphs -> SOLUTION: I need some help with Graphing Sketch the graph of y=5-(x+2)^3 and label the Y-intercept thank you for your time      Log On


   

Question 62438: I need some help with Graphing
Sketch the graph of y=5-(x+2)^3 and label the Y-intercept
thank you for your time
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Sketch the graph of y=5-(x+2)^3 and label the Y-intercept
Let x=0 to find the y intercept.
y=5-%280%2B2%29%5E3
y=5-%282%29%5E3
y=5-8
y=-3 Plot (0,-3)
The graph of y=x^3 looks like:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E3%29
y=highlight%285%29-%28x%2B2%29%5E3
The 5, tells you that your graph is shifted vertically up 5 units.
y=5-%28x%2Bhighlight%282%29%29%5E3
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%28300%2C200%2C-10%2C10%2C-10%2C10%2C5-%28x%2B2%29%5E3%29
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!!!