SOLUTION: Find the x and y intercepts for the given equation {{{y=-x^2+3x+18}}}

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Question 130701: Find the x and y intercepts for the given equation





Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

To find the x-intercept, plug in


Start with the given equation


Plug in


Factor the right side



Now set each factor equal to zero:
or

or Now solve for x in each case


So our x-intercepts are


(-3,0) and (6,0)






To find the y-intercept, plug in

Start with the given equation


Plug in


Raise 0 to the 2nd power to get 0


Multiply 3 and 0 to get 0


Add 0 and 0 to get 0


Add 0 and 18 to get 18


So the y-intercept is (0,18)




Notice if we graph we can visually verify our answer.




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