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Roman55 [17]
2 years ago
7

How do I find the domain range and function of the graph

Mathematics
1 answer:
Allisa [31]2 years ago
3 0

Answer:

  D = {-3, -2, -1, 1, 4}

  R = {-5, -1, 0, 2}

Step-by-step explanation:

You have correctly described the process of finding the domain and range by the way you filled in the blanks at the top of the sheet.

__

The domain is the set of x-values of the points on the graph:

  D = {-3, -2, -1, 1, 4}

The range is the set of (unique) y-values of the points on the graph:

  R = {-5, -1, 0, 2}

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Base on the vertex (h, k) and the distance p between vertex and directrix, the standard form of parabola is written as:

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We have (-1, -5) as vertex.

=> (x + 1)^2 = 4*p(y + 5)

Now, we find p:

The distance between (-1, -5) and x = -7 is calculated by:

|-1 -(-7)| = |6| = 6

=> (x + 1)^2 = 4*6(y + 5)

=> (x + 1)^2 = 24(y + 5)

Hope this helps!

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3 years ago
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