SOLUTION: 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. B. Graph the function f(x) = –

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Question 148020: 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.

B. Graph the function f(x) = –3x2 + x – 5. Be sure to properly label the graph, which includes labeling the axes and the graph with its equation.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you started.




Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is


Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point




Now since the slope is comprised of the "rise" over the "run" this means


Also, because the slope is , this means:




which shows us that the rise is -3 and the run is 1. This means that to go from point to point, we can go down 3 and over 1



So starting at , go down 3 units


and to the right 1 unit to get to the next point



Now draw a line through these points to graph

So this is the graph of through the points and

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