How does the second term in a quadratic, bx, affect the graph?
You could experiment with it! You're curious as to the effect of the linear term... so plot a bunch of quadratics with different linear terms.
Since this is physicsforum.com, you might also try to consider the kinematic analogue (representing one-dimensional projectile motion).
Or, try getting the general form, ax^2 + bx+c, and complete the square on that.
Yeah Gib, that's what I would suggest. If Fletcher knows how translations of the graph of a function are related to transformations of its formula, then completing the square will tell the him exactly what he wants to know.
Thanks, that was helpful.
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