SOLUTION: plot the graph y = 12 - x - x squared

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Question 188249: plot the graph y = 12 - x - x squared
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Given Eqn ---> y=12-x-x%5E2=-x%5E2-x%2B12
Solve for X-Intercepts:
y=-x%5E2-x%2B12, wheresystem%28a=-1%2Cb=-1%2Cc=12%29
Discriminant: b%5E2-4ac=-1%5E2-4%28-1%29%2812%29=1%2B48=49
Then, by quadratic: x=%28-1%2B-sqrt%2849%29%29%2F%282%2A1%29=%28-1%2B-7%29%2F2
x=%28-1-7%29%2F2=-8%2F2=red%28-4%29
x=%28-1%2B7%29%2F2=6%2F2=red%283%29

Solve for Y-Intercept:
Let fx=0 -----> y=o%5E2-0%2B12=red%2812%29

We see the graph,

Thank you,
Jojo