EASY- 50 PTS
ALGEBRA/ FUNCTION/ GRAPH MATH

9514 1404 393

  B.  Up 1 and 2 to the left

Step-by-step explanation:

The second graph (blue) is up 1 and 2 left of the first graph (red).

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You can compare the given equations to the form ...

  y = a(x -h)^2 +k

For the first graph, we have (h, k) = (6, -1).

For the second graph, we have (h, k) = (4, 0).

Then the amount added to the first to make the second is ..

  (4, 0) -(6, -1) = (-2, 1) . . . . . . a translation 2 left and 1 up

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)