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kotykmax [81]
2 years ago
14

The equation of a parabola is shown.

Mathematics
1 answer:
WARRIOR [948]2 years ago
5 0
The axis of symmetry for this parabola is the x-axis. The general form of the equation is:
4p(x-h) = (y-k)^2
where the focus has the coordinates of (h+p,k)

Manipulating the given equation to the general form:
4(1/3)(x-7)^2 = (y - 0)^2

Therefore the coordinates of the focus is:
(7+(1/3),0)

The answer is A.) (71/3,0)


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Christopher is analyzing a circle, y^2 + x^2 = 121, and a linear function g(x). Will they intersect?
Sav [38]
Circle: x^2+y^2=121=11^2 => circle with radius 11 and centred on origin.
g(x)=-2x+12   (from given table, find slope and y-intercept)
We can see from the graphics that g(x) will be almost tangent to the circle at (0,11), and that both intersection points will be at x>=11.
To show that this is the case, 
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x^2+(-2x+12)^2=121
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I hope this helps you



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8 0
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