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Considering the directrix and vertex given in the graph, the equation of the parabola is:
B.
The equation of a quadratic function, of vertex (h,k), is given by:
(y - k)² = 4p(x - h).
In which the directrix is the line x = h - p.
Looking at the graph, we have that:
- The vertex is (-2,-2), hence h = k = -2.
- The directrix is x = -1, hence -1 = -2 - p -> p = -1.
Thus the equation is:
(y + 2)² = -4(x + 2).
Writing x as a function of y:
B.
More can be learned about the equation of a parabola at brainly.com/question/17987697
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Answer:
Dy/dt = 11.67 ft/s
Step-by-step explanation: See Annex
In Annex, Triangles ACE and BCD are similar then, we can write
( y- x ) / y = 6 / 15
15*y -15*x = 6*y
15*y - 6*y = 15*x
9*y = 15*x
y = (15/9)*x
Differentiating with respect time on both sides of the equation we get
Dy/dt = (15/9) Dx/dt (1)
Where we know Dx/dt = 7 ft/s, and according to (1) Dy/dt does not depend on x (distance between man and the pole, only depend on the speed f the man
Dy/dt = (15/9) * 7
Dy/dt = 11.67 ft/s
