SOLUTION: a) find the y-int., the equation of the axis of symmetry, and the x-coordinate of the vertex b)make a table of values that includes the vertex c)use this information to graph the

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: a) find the y-int., the equation of the axis of symmetry, and the x-coordinate of the vertex b)make a table of values that includes the vertex c)use this information to graph the      Log On

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Question 181668This question is from textbook Algebra 2
: a) find the y-int., the equation of the axis of symmetry, and the x-coordinate of the vertex
b)make a table of values that includes the vertex
c)use this information to graph the function
18) f(x)=x^2+2x+1
This question is from textbook Algebra 2

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
a) find the y-int., the equation of the axis of symmetry, and the x-coordinate of the vertex
b)make a table of values that includes the vertex
c)use this information to graph the function
18) f(x)=x^2+2x+1:
:
y=%28x%2B1%29%5E2
:
vertex is at (highlight%28-1%29,0)
:
line of symmetry is highlight%28x=-1%29
:
to find y intercept set x to zero....y=%280%29%5E2%2B2%280%29%2B1=1
so y intercept is 1: (0,1)
:
now just find a few more values of y for chosen x values
:
such as when x=-1--->y=(-1)^2+2(-1)+1=0
:
do this for as many points as you like to get a picture of the graph
:
here is the graph
:
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%2B2x%2B1%29