SOLUTION: graph the quadratic function f(x)=(x+3)^2+1

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Question 407300: graph the quadratic function f(x)=(x+3)^2+1
Found 2 solutions by MathLover1, graphmatics:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!





use quadratic formula
...you have , and














graph:






Answer by graphmatics(170)   (Show Source): You can put this solution on YOUR website!
Put y for f(x) and get
y = (x+3)^2 +1
y = x^2 + 6*x +9 +1
y = x^2 + 6*x + 10
we plot a group of quadratic equation (x,y) points for a group of x say {0, 1,-1,2,-2,3,-3}.
if x=0 then y = x^2 + 6*0 +10 so y=10 and (0,10) is a solution point for the quadratic equation y = x^2 + 6*x + 10.
For x=-3 y=3*2+6*3+10=17 and (-3,1) is a point and similarly for
x=-1,x=2,x=-2,x=3,x=-3

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