SOLUTION: totally lost, I have to sketch a graph and find the vertex, x and y intercept, domain, range and the transformation I'm able to graph on calculator but that's no help to me a){{{

I'll do all but the last, which requires shading.

Rule:

To find the vertex of the graph of 

set  and solve for x. That's the x-value of the
vertex.  The y-value of the vertex is just D.

Domain is always domain (,
Range: (D,) if graph opens upward  
or
Range: (),D) if graph opens downward

transformation: 
 units Right if  is negative
 units Left if   is positive
 units Up if  is positive.
 units Down if  is negative
-----------------------



Consider that as: 



Set 
    

That is the x value of the vertex.

The y-value is 0.

So the vertex is (0,0)

Get two more points one on each side of the
vertex.

Substitute 





So 1 point is (1,0)

Substitute 





So another point is (-1,1)

Plot those three points



Now draw a v-shaped graph with the vertex at the bottom:

 

domain: (,)
range: (,)

No transformation.

-------------------




Set 
     
      

That is the x value of the vertex.

The y-value is 4.

So the vertex is (,)

Get two more points one on each side of the
vertex.

Substitute 











So 1 point is (0,7)

Substitute 











So another point is (3,7)

Plot those three points



Now draw a v-shaped graph with the vertex at the bottom:




domain: (,)
range: (,)
transformation: 
 units Right because  is negative
 units Up because  is positive.


---------------



First draw   as above, then shade all
the area below the v-shaped graph.

Edwin