SOLUTION: Consider the quadratic function y+x^2+x-2 Determine a)the y-intercept b) the axis of symmetry c)the x-intercepts d)the vertex use the informations above to sketch the graph of

Algebra ->  Linear-equations -> SOLUTION: Consider the quadratic function y+x^2+x-2 Determine a)the y-intercept b) the axis of symmetry c)the x-intercepts d)the vertex use the informations above to sketch the graph of      Log On


   

Question 436069: Consider the quadratic function y+x^2+x-2
Determine a)the y-intercept
b) the axis of symmetry
c)the x-intercepts
d)the vertex
use the informations above to sketch the graph of y=x^2+x-2
Answer by stanbon(75887) About Me  (Show Source):
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Consider the quadratic function y= x^2+x-2
Determine
a)the y-intercept
Let x = 0, then y = -2
--------------------------------
b) the axis of symmetry
Complete the square:
x^2+x+(1/2)^2 = y+2+(1/2)^2
(x+(1/2))^2 = y+(9/4)
Axis at x = -1/2
---------------------------
c)the x-intercepts
Solve: x^2+x-2 = 0
Factor: (x+2)(x-1) = 0
x = 1 or x = -2
-----------------------------
d)the vertex
Use (x+(1/2))^2 = y+(9/4)
Vertex at (-1/2,-9/4)
===========================
use the informations above to sketch the graph of y=x^2+x-2
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%2Bx-2%29
Cheers,
Stan H.
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