Tiffany is solving an equation where both sides are quadratic expressions. She sets each quadratic equation equal to y and graph
s the resulting system. If the graph of one quadratic opens upward and the other opens downward, what is the greatest possible number of intersections for these graphs?
2 answers:
Answer:
Step-by-step explanation:
There are 3 possibilities for the graph as shown in the figure.
(a) having zero intersection
(b) having one intersection point (touching point)
(c) having two intersection points.
So, the greatest possible number of intersections for these graphs is 2 as shown in figure (c).
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Answer:
Step-by-step explanation:
By definition a diameter goes through the center of the circle. So if we find the midpoint of the diameter, we will have the h and k of the center. Then we will use one of the points ON the circle as x and y and solve for r. Here goes:
to get a midpoint/center of (0, -9).
The standard form of a circle is
Filling in with h, k, x, and y:
which simplifies to
so
Now we can write the equation of the circle: