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MAXImum [283]
3 years ago
8

ReflectionPlease help me

Mathematics
1 answer:
neonofarm [45]3 years ago
7 0

Answer:

Step-by-step explanation:

I'll do three of these. I'll try and vary them as much as possible.

Number 1

Remark

Read this carefully.

Rule: If you are reflecting across the line y= x (which you are) the rule is Point (x,y) becomes point (y,x). So now you have to set up a table using this transformation.

Now you have to follow the example most carefully. Notice how x and y are interchanged. There is no sign change with this example.

Given points             Transforms into

  • (1,-2)        ========> (-2,1)
  • (2,-1)        ========> (-1,2)  
  • (3,-3)       ========>  (-3,3)

The diagram for this transformation is on the left.

Question Two

I'm going to  take a chance here and say that the reflection takes place across y = - x (Your diagram is cut off).

If I am right, then the rule is

Rule for line y = -x

Rule: The point (x,y) transforms into (-y,-x) What that means is that you interchange x and y. While you are at it, you put minus signs in front of x and y when they switched.

Diagram Points                  Switched points.

  • (-4,-1)  ================>  (1,4)
  • (-4,-5) ================>  (5,4)
  • (-2,-5) ================>  (5,2)
  • (-2,-4) ================>  (4,4)
  • (-4,-1) ================>   (4,1)

Problem 5

This is a reflection across the x axis.

Rule: the object reflected across the x axis will <em>not</em> change the x value but the y value will become -y

Diagram points                      Switched Points

  • (1, - 1)   ====================>  (1,1)  
  • (4, -1)   ====================>   (4,1)
  • (3, -5)   ====================>  (3,5)

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The growth of a city is described by the population function p(t) = P0e^kt where P0 is the initial population of the city, t is the time in years, and k is a constant. If the population of the city atis 19,000 and the population of the city atis 23,000, which is the nearest approximation to the population of the city at

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