How do you graph f(x)=x^2 - x+3 by plotting points?

1 Answer
Tony B
Apr 5, 2017

See explanation

Explanation:

color(brown)("As "x^2" is positive the graph is of form "uu)

Additional comment: if we had -x^2 then the graph would be nn

For a moment consider the equation as: y=x^2color(red)(-1)xcolor(magenta)(+3)

color(green)("Then "x_("vertex") = (-1/2)xxcolor(red)(-1)=+1/2 ->(x,y)=(1/2,y))

color(green)("Also "y_("intercept") = color(magenta)(+3) ->(x,y)=(0,3))

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Build a table of values.
Tony B

Mark your points and draw a curved line uu through all the points as best as you can. To obtain mote marks show you table. Either on the graph itself or separately.

color(red)("I have only shown a few of the points")
Tony B

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