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Question 1079905: Complete a table of values for quadratic function y = x^2 -2x+4
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Table of values:
which is the final answer
The work for each y value is shown below:
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If x = -2, then,
y = x^2-2x+4
y = (-2)^2-2*(-2)+4 ... Plug in x = -2
y = 4-2*(-2)+4
y = 4+4+4
y = 12
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If x = -1, then,
y = x^2-2x+4
y = (-1)^2-2*(-1)+4 ... Plug in x = -1
y = 1-2*(-1)+4
y = 1+2+4
y = 7
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If x = 0, then,
y = x^2-2x+4
y = (0)^2-2*(0)+4 ... Plug in x = 0
y = 0-2*(0)+4
y = 0-0+4
y = 4
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If x = 1, then,
y = x^2-2x+4
y = (1)^2-2*(1)+4 ... Plug in x = 1
y = 1-2*(1)+4
y = 1-2+4
y = 3
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If x = 2, then,
y = x^2-2x+4
y = (2)^2-2*(2)+4 ... Plug in x = 2
y = 4-2*(2)+4
y = 4-4+4
y = 4
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Extra Information:
The graph is shown below. Each point is on the same parabola.
Image generated using GeoGebra (free graphing software).
Each point is generated based on the (x,y) pairing. For instance, point A is (-2,12) because x = -2 leads to y = 12 which is shown in the first row of the table above.
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