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Norma-Jean [14]
3 years ago
7

This pre-image was translated 3 units right and 6 units up. Use the segment tool to draw the image.

Mathematics
2 answers:
Anna [14]3 years ago
6 0

Answer:

We are given a pre-image now it is given that the pre-image is translated 3 units right and 6 units up so the change or the rule of the transformation in the coordinates is given by:

(x,y) → (x+3,y+6)

We are given the vertices of the pre-image are:

(-5,-4)  , (-1,-6) and (1,-3)

Hence, the transformed image has the vertices aS:

(-5,-4) → (-5+3,-4+6)=(-2,2)

(-1,-6) → (-1+3,-6+6)=(2,0)

and (1,-3) → (1+3,-3+6)=(4,3)

so, the image after translation of the pre-image has vertices:

(-2,2) , (2,0) and (4,3)

serg [7]3 years ago
5 0

Let

A( -5,-4) B(-1,-6) C(1,-3)

we know that

the rule of the transformation is

(x,y)---------> (x+3,y+6)

so

<u>Find A'</u>

(-5,-4)---------> (-5+3,-4+6)-------> A' (-2,2)

<u>Find B'</u>

(-1,-6)---------> (-1+3,-6+6)-------> B' (2,0)

<u>Find C'</u>

(1,-3)---------> (1+3,-3+6)-------> C' (4,3)

the answer in the attached figure

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Given the function, <em>f(x) = 3x + 6,</em> we can solve for f(a), f(a + h) and \frac{(f(a + h) - f(a)) }{h} by substituting their values into f(x) = 3x + 6. We will have the following:

\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}

<em><u>Given:</u></em>

  • f(x) = 3x + 6

<em>We are told to find:</em>

  1. f(a)
  2. f(a + h), and
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1. <em><u>Find f(a):</u></em>

  • Substitute x = a into f(x) = 3x + 6

f(a) = 3(a) + 6

f(a) = 3a + 6

<em>2. Find f(a + h):</em>

  • Substitute x = a + h into f(x) = 3x + 6

f(a + h) = 3(a + h) + 6

f(a + h) = 3a + 3h + 6

<em>3. Find </em>\frac{(f(a + h) - f(a)) }{h}<em>:</em>

  • Plug in the values of f(a + h) and f(a) into \frac{(f(a + h) - f(a)) }{h}

Thus:

\frac{((3a + 3h + 6) - (3a + 6)) }{h}\\\\\frac{(3a + 3h + 6 - 3a - 6) }{h}\\\\

  • Add like terms

\frac{(3a - 3a + 3h + 6 - 6) }{h}\\\\= \frac{3h }{h}\\\\\mathbf{= 3}

Therefore, given the function, <em>f(x) = 3x + 6,</em> we can solve for f(a), f(a + h) and \frac{(f(a + h) - f(a)) }{h} by substituting their values into f(x) = 3x + 6. We will have the following:

\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}

Learn more here:

brainly.com/question/8161429

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You make $500 per day. How much money will you make per year? (There are 250 working days in a year).
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Answer:

125000

Step-by-step explanation:

500x 250 = 125000

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A model car is made to a scale of 1:50 (model: real).

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Hence:

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