Question 128351: Given the parabola y=x^2-6x-7, answer the following questions:
what is its x-intercept? Find its y-intercept. Graph the parabola.
Found 2 solutions by jim_thompson5910, chitra:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! First let's find the x-intercept(s)
 Start with the given equation
To find the x-intercept, let y=0
 Plug in 
 Factor the right side (note: if you need help with factoring, check out this solver)
Now set each factor equal to zero:
 or 
 or  Now solve for x in each case
So the x-intercepts are (-1,0) and (7,0)
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Now let's find the y-intercept
Start with the given equation
To find the y-intercept, let x=0
 Plug in 
 Raise 0 to the 2nd power to get 0
 Multiply 1 and 0 to get 0
 Multiply 6 and 0 to get 0
 Subtract 0 from 0 to get 0
 Subtract 7 from 0 to get -7
So when , we have 
So the y-intercept is (0,-7)
If we graph the parabola, we get
 Graph of
We can see that the x-intercepts are (-1,0) and (7,0) and that the y-intercept is (0,-7). So this verifies our answer.
Answer by chitra(359) (Show Source):
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