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Nesterboy [21]
3 years ago
12

What is the answer??

Mathematics
2 answers:
andriy [413]3 years ago
7 0
3 correct me if i’m wrong:)
Nata [24]3 years ago
4 0

Answer:

f(x) = -½ x - 5x (the 3rd option)

Step-by-step explanation:

f(4)= -½(4) - 5(4)

= -2 - 20

= -22

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Rufina [12.5K]

Answer:

f(x) = (1/18)x^2 - (4/9)x - 65/18

Step-by-step explanation:

Since the focus (4,3) is higher up than is the directrix y = -6, the vertex is between y = -6 and y = 3, halfway between these values, to be exact:  y = -3/2.  Thus, the y-coordinate of the vertex is (-6 + 3/2), or -4.5.  The x-coordinate of the vertex is 4, which comes from that 4 in (4,3).  Thus, the vertex is (4, -4.5) or (4, -4 1/2).

The standard equation for a vertical parabola with vertex at (h,k) is:

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Let's expand this and rewrite the result as a quadratic equation in standard form y = ax^2 + bx + c:

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18y = x^2 - 8x + 16 - 81, or

18y = x^2 - 8x - 65, or

y = f(x) = (1/18)x^2 - (4/9)x - 65/18.

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