Exploring the graph of:
with varying values for a
an animation allowing a to vary from -5 to 5
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Notice the y-intercept is always at (0,2).
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When the values of a are negative there is a parabola that points down but when the values of a are positive the parabola points up.
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As the absolute value of a increase the parabola become more narrow.
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When the parabola points down the vertex has positive x values
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When the parabola points up the vertex has negative x values