SOLUTION: Find the x-intercept of y = x squared - 3x - 10 Find the axis of symmetry of y = -x squared - 6x + 2

Algebra ->  Graphs -> SOLUTION: Find the x-intercept of y = x squared - 3x - 10 Find the axis of symmetry of y = -x squared - 6x + 2      Log On


   



Question 122760: Find the x-intercept of y = x squared - 3x - 10


Find the axis of symmetry of y = -x squared - 6x + 2

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the x-intercept of y = x squared - 3x - 10
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Let y = 0 and solve for "x":
x^2-3x-10 = 0
(x-5)(x+2)=0
x = 5 and x=-2 are the x-intercepts.
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Find the axis of symmetry of y = -x squared - 6x + 2
The axis occurs at x = -b/2a = 6/(2(-1)) = 3
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Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+x%5E2+-+3x+-+10
The x-intercept occurs where y=0
x%5E2+-+3x+-+10+=+0
%28x+-+5%29%28x+%2B+2%29
x+=+5
x+=+-2
These are the x-intercepts- either one makes y=0
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y+=+-%28x%29%5E2+-+6x+%2B+2
When the equation is in the form y+=+ax%5E2+%2B+bx+%2B+c,
the axis of symmetry is at the line x+=+%28-b%29%2F%282a%29
In this case,
a+=+-1
b+=+-6
x+=+%28-%28-6%29%29+%2F+%282%2A%28-1%29%29
x+=+-3 axis of symmetry
I'll check this by plotting
+graph%28+600%2C+600%2C+-9%2C+5%2C+-10%2C+12%2C+-%28x%29%5E2+-+6x+%2B+2%29+