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3 years ago

the graph of a quadratic function has a vertex ar (3,-6). One point of the graph is (7,10). What is another point on the graph?

Mathematics

1 answer:

Liula [17]3 years ago

3 0

Answer:

y + 6 = (x -3)^2

Step-by-step explanation:

Let's use the general form of the vertex equation of a quadratic: y - k = a(x - h)^2.

Subst. 10 for y, 7 for x, -6 for k and 3 for h. Then, 10 + 6 = a(7 - 3)^2, or

16 = a(4)^2, or 16 = a(16). Thus, a = 1, and the equation of this particular parabola is:

y + 6 = (x -3)^2

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9514 1404 393

Explanation:

a) see the attachment for a graph (red curve)

b) The piecewise defined function can be ...

$\displaystyle C(x)=\begin{cases}0&0\le x\le 1\\5&1$

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_____

<em>Additional comment</em>

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