All functions of form f(x) = x^n, where n is an integer, can be graphed on a Cartesian coordinate plane. Function transformations are listed in the first column of the table. Transformed functions are listed in the top row.
Select the box or boxes that match each function with the transformation that took place.
g(x) = -(x - h)^n
j(x) = ax^n + k
m(x) = (x + h)^n – k

Reflection across the x- axis
Translation of h units to the left
Translation of k units up
Vertical Stretch/Shrink

6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

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these sign is used to tell weather the number is greater or less than the number   <   or >     but this sign means its equal =    

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step-by-step explanation:

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.