Question 280245: consider the standard form of quadratic equation y=ax^2+bx+c. how would you investigate the effect of the "c" on the location and/or shape of the parabola?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! consider the standard form of quadratic equation y=ax^2+bx+c. how would you investigate the effect of the "c" on the location and/or shape of the parabola?
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Notice that the equation is a statement about "y".
It tells you where y is when x has certain values.
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If the c were not there y would equal ax^2+bx
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But when c is there y = ax^2+bx + c
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So, if c is positive, y is higher by "c".
That means all the points of the graph are raised.
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And, if c is negative, y is lower by "c".
That means all the points of the graph are lowered.
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So, c determines the vertical shift of the graph.
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Cheers,
Stan H.
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