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ddd [48]
3 years ago
15

Describe the types of transformation given by each parameter in g(x) = -4f(-x + 2) + 6

Mathematics
1 answer:
forsale [732]3 years ago
7 0

Step-by-step explanation:

Starting with f(x)

f(x)

f(-x) ...... reflection in the y - axis

f(-x+2) ..... horizontal translation by 2 units in the negative x-direction

f(-x+2) + 6 ...... vertical translation by 6 units in the positive y-direction

4f(-x+2) + 6 ..... scaling (or dilation) by a factor of 4

-4f(-x+2) + 6 ..... reflection in the x-axis

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Find the product.<br><br> (5x2−4x+6)(−2x+3)=
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6 0
3 years ago
Solve the following system of equations for all three variables.
nignag [31]
  5x - 2y + 1z = 8 ⇒   5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9x -  2y -  5z = 4             -4x + 3z = 13

 5x -  2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9z -  2y -  5z = 4 ⇒ -9x -  2y -  5z = 4
                                        -18x - 3z = 9

     -4x + 3z = 13
    -18x - 3z =   9
           -22x = 22
            -22    -22
                x = -1
    -18x - 3z = 9
-18(-1) - 3z = 9
       18 - 3z = 9
     - 18       - 18
             -3z = -9
              -3     -3
                z = 3

    5x - 2y + z = 8
5(-1) - 2y + 3 = 8
     -5 - 2y + 3 = 8
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                + 2 + 2
                -2y = 10
                 -2     -2
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          (x, y, z) = (-1, -5, 3)
6 0
3 years ago
Can someone walk me through the steps: Steve increases his math average by 9 points over a period of 15 weeks. How many points p
ozzi

hmmm units rates are just a matter of one above the other.

in this case is points/week.

9/15  points/weeks, we can just divide 9 ÷ 15 = 0.6, or 3/5.

so 0.6 points/weeks.

4 0
3 years ago
2&gt; -2-c. <br><br><br><br>how would I graph this?
REY [17]

Answer:

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2> -2-c

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4 > -c

Divide each side by -1.  Remember that dividing by -1 will flip the inequality.

4/-1  < -c/-1

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6 0
3 years ago
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Lynna [10]
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