I have two word questions I needed answered and a brief discription on how to graph it! THANK YOU FOR HELPING!
1. Sketch a narrow parabola that spills water and has a turning point of (0,3). Will this parabola have real or complex roots?
2. Sketch a parabola with real roots and a turning point of (0,-7). Is the turning point a minimum or maximum value for f(x)?
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"Spills water"? "Turning point"? Does your teacher use the technical terms? (I don't mean to sound insulting, but proper terminology should always be used!)
A narrow parabola that opens downward with a vertex of (0,3). If you elected to have the parabola intercept the x-axis at (1,0) and (-1,0) I'd say that's quite narrow; in fact, that would be y = -3x^2. Since it opens downward and crosses the x-axis in two distinct places, the roots are very real (in fact, I specified them in the last sentence.)
As for a parabola with real roots and a vertex of (0,-7), make this one easy on yourself and sketch y = x^2 - 7. Sample points would be (-3,2), (-2,-3), (-1,-6), (0,-7) (the minimum), (1,-6), (2,-3), and (3,2). See a pattern among these points?
As for how to sketch them, first find the vertex of your curve (the "turning point", which I believe should be reserved for movies or stories), then find x-values on either side equal distances apart, find the value for one of them and you find the value for the other ("half the work for twice the credit"), then connect with as smooth a curve as you can draw.
a million A 2 a three A 4 B roots are x-7 and x+a million 5 B if intersects greater or much less, then the roots are not from now on rational 6 B evaluate x1/x2 = y1/y2 7 question not clean 8 question not clean 9 B 10 A