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

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

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Answer 1 · 2017-04-05T08:31:09

See explanation

Explanation:

$As x^{2} is positive the graph is of form \cup$ $color(brown)("As "x^2" is positive the graph is of form "uu)$

Additional comment: if we had $- x^{2}$ $-x^2$ then the graph would be $\cap$ $nn$

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

$Then x_{vertex} = (- \frac{1}{2}) \times - 1 = + \frac{1}{2} \to (x, y) = (\frac{1}{2}, y)$ $color(green)("Then "x_("vertex") = (-1/2)xxcolor(red)(-1)=+1/2 ->(x,y)=(1/2,y))$

$Also y_{intercept} = + 3 \to (x, y) = (0, 3)$ $color(green)("Also "y_("intercept") = color(magenta)(+3) ->(x,y)=(0,3))$

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Build a table of values.
Tony B

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

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

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

1 Answer

Explanation:

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How do you graph f(x)=x2−x+3f(x)=x^2 - x+3 by plotting points?

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Explanation:

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