Question 298171: use the quadratic formula to determine the x intercepts(if any) of the following function. then evaluate the function for several values of x, and use the resulting points to graph the function. f(x)=x^2-4x+4
Using the formula My answer was x=2. but I don't have a clue how to get other values for x. I thought if the discriminant was 0, which it is, that you could only have one rational solution????? Please help..really want to figure out how to do this problem
Answer by user_dude2008(1862) (Show Source):
You can put this solution on YOUR website! just pick random x's, plug them in to get y's
x=-1: f(-1)=(-1)^2-4(-1)+4=1+4+4=9 ----> x=-1, y=9 ---> (-1,9)
x=0: f(0)=0^2-4(0)+4=0-0+4=4 ----> x=0, y=4 ---> (0,4)
x=1: f(1)=1^2-4(1)+4=1-4+4=1 ----> x=1, y=1 ---> (1,1)
x=3: f(3)=3^2-4(3)+4=9-12+4=1 ----> x=3, y=1 ---> (3,1)
x=4: f(4)=4^2-4(4)+4=16-16+4=4 ----> x=4, y=4 ---> (4,4)
x=5: f(5)=5^2-4(5)+4=25-20+4=9 ----> x=5, y=9 ---> (5,9)
Next plot points and connect dots
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