Question 88425
To graph functions you have to:
1st: Determine a number of points.
2nd: Plot the points on a coordinate system.
3rd: Draw a line or smooth curve thru the points.
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A. Graph the function f(x)=-3x+7. Be sure to properly label the graph, which includes labeling the axes and the line with its equation. 
Draw two lines perpendicular to each other.
Label the vertical line "y" or f(x)
Label the horizontal lin "x"
Find two Points:
If f(x) = 0, then 0 = -3x+7; 3x = 7; x= 7/3
This gives you the point (7/3,0)
If x = 0, the f(x) = -3*0+7; f(x) = 7
This gives you the point (0,7)
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Plot these two points and draw a line thru them; you should get the
following graph:
{{{graph(400,300,-10,10,-10,10,-3x+7)}}}
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B. Graph the function f(x)=-3x^2 +x -5. Same rule as above.
Same procedure but you need a few more points because the graph is a curve.
If x=0, y=-5
If x=1, y= -3+1-5=-7
If x=2, y= -3*4-2-5 = -19
If x=-1, y = -3*1 -1-5 = -9
If x=-2, y = -3*4 -3-5 = -20
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Plot these points; draw a smooth curve (a parabola) thru them to get the
following graph:
{{{graph(400,300,-10,10,-20,05,-3x^2+x-5)}}}
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Cheers,
Stan H.