2. After the translation, where Is Alocated?
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Text

9514 1404 393

  A'(-3, 13)

Step-by-step explanation:

The transformation that moves a point 4 left and 8 up is ...

  (x, y) ⇒ (x -4, y +8)

The transformation that reflects a point across the y-axis is ...

  (x, y) ⇒ (-x, y)

Applied after the translation, the transformation of ∆ABC becomes ...

  (x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)

Then point A gets moved to ...

  A(7, 5) ⇒ A'(4 -7, 5 +8) = A'(-3, 13)

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In the attached graph, the purple triangle is the result of the translation 4 left and up 8. Then the blue one is after reflection across the y-axis.

step-by-step explanation:

options

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752