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Tom [10]
2 years ago
8

If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation i

n expressing the new coordinates. (5 points)
explain:
Mathematics
1 answer:
steposvetlana [31]2 years ago
7 0

Using prime notation, the new coordinates after translation are;

<em>New coordinates;</em>

A': (-1, 1)

B': (-1, -2)  

C': (3, -2)

D': (3, 2)

  • From the attached image, we can see that the coordinates are;

A(-6, 5)

B(-6, 2)

C(-2, 2)

D(-2, 6)

  • Translating the polygon down by x units means the value of the y-coordinates will reduce by 4.
  • In a similar fashion, translation 5 units to the right means that the x-coordinates would increase by 5.

  • Applying these translation numbers to our coordinates, we will now have;

        A(-6 + 5, 5 - 4)

        B(-6 + 5, 2 - 4)

        C(-2 + 5, 2 - 4)

        D(-2 + 5, 6 - 4)

Simplifying each of them gives us the new coordinates as;

A: (-1, 1)

B: (-1, -2)  

C: (3, -2)

D: (3, 2)

Read more at; brainly.com/question/4726090

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Lets check with every option

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(b) [-3,-2]

We plug in -3  for x  and -2 for x

f(-3) = (-3)^4 + 3(-3)^3 - 2(-3)^2 - 6(-3) - 1= -1

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(d) [-1,0]

We plug in -1  for x  and 0 for x

f(-1) = (-1)^4 + 3(-1)^3 - 2(-1)^2 - 6(-1) - 1= 1

f(0) = (0)^4 + 3(0)^3 - 2(0)^2 - 6(0) - 1= -1

f(-1) is positive and f(0) is negative. there is some value at x=c on the interval [-1,0] where f(c)=0. so there exists atleast one zero on this interval.

(e) [0,1]

We plug in 0  for x  and 1 for x

f(0) = (0)^4 + 3(0)^3 - 2(0)^2 - 6(0) - 1= -1

f(1) = (1)^4 + 3(1)^3 - 2(1)^2 - 6(1) - 1= -5

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(f) [1,2]

We plug in 1  for x  and 2 for x

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f(2) = (2)^4 + 3(2)^3 - 2(2)^2 - 6(2) - 1= 19

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