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Ronch [10]
3 years ago
14

Do any of y’all know how to do number 7?

Mathematics
1 answer:
valentinak56 [21]3 years ago
5 0

Answer:

f(-3) = 2

f(-1) = 2

f(8) = 1

Step-by-step explanation:

Yep! For any function f(x), you find the y value corresponding the x value. For example, in this question, it asks us to find f(-3). Therefore, you go to the line, x = -3, and see where it intersect the function (the y value). Your answer would be the y value.

The value corresponding to f(-3) seems to be 2.

The value corresponding to f(-1) seems to be -2.

The value corresponding to f(8) seems to be 1.

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Check the picture below.

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since this horizontal parabola is opening to the left-hand-side, "p" is negative, notice in the picture, "p" is 2 units, and since it's negative, p = -2.

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\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ 4p(y- k)=(x- h)^2 \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-5\\ k=7\\ p=-2 \end{cases}\implies 4(-2)[x-(-5)]=[y-7]^2 \\\\\\ -8(x+5)=(y-7)^2\implies x+5=\cfrac{(y-7)^2}{-8}\implies \boxed{x=-\cfrac{1}{8}(y-7)^2-5}

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In point a:

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In point b:

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In point c:

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