SOLUTION: For each function,(a) determine whether the graph opens upward or downward,(b) find the axis of symmetry,(c)find the vertex,(d)find the y-intercept, and (e)graph the function. g

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: For each function,(a) determine whether the graph opens upward or downward,(b) find the axis of symmetry,(c)find the vertex,(d)find the y-intercept, and (e)graph the function. g      Log On


   



Question 230711: For each function,(a) determine whether the graph opens upward or downward,(b) find the axis of symmetry,(c)find the vertex,(d)find the y-intercept, and (e)graph the function.
g(x)=(x-1)to the power of two

I tried putting the equation in standard form which would come out as x to the power of two plus x plus 1. I know what "a" is and "c" but I can't seem to find out "x" because the answer I came out with, which was 1/2, is different form the book which does not give an explanation.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
For each function,
g(x)=(x-1)^2
(a) determine whether the graph opens upward or downward,
Upward
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(b) find the axis of symmetry,
x = 1
--------------------
(c)find the vertex,
(1,f(1)) = (1,0)
---------------------
d)find the y-intercept,
Let x = 0 ; then y = 1
----
(e)graph the function.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28x-1%29%5E2%29
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Cheers,
Stan H.