⁴√400 / ⁴√5 = 400^¼ / 5^¼
= (5 x 2²)² / 5^¼
= 5² x 2⁴ / 5^¼
= ⁴√5^7 x 2⁴
Answer and Step-by-step explanation:
The parent function, f(x) = |x|, has no transformations applied to it.
When the number is with the x, it translates the graph horizontally. <->
When the number is outside of the absolute box, it translates the graph vertically. ^ V
When the number is multiply the absolute box on the outside with the x inside, it scales the graph.
So, first lets apply the translations of horizontal and vertical shift.
The graph translated 1 units downwards.
The graph translates 2 units to the right.
g(x) = |x - 2| - 1
We subtract the 2 because that makes it go right, while if we added it would go left.
Now for the scale.
The lines have a slope of 
, so that is what we are multiplying.
<u> g(x) = </u><u>|x - 2| - 1</u>
<u></u>
<u>^That is your transformed function.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
To get the result we have to transform given formula into y=ax+b form.
Lets do this
5x+3y=6 /-5x (subtract 5x both sides)
3y=-5x+6 /:3 (divide both sides by 3)
y=
In form y=ax+b we know that a is slope and b is y intersect. We can read from our transformed equation that slope a=
and its the result
and 
.
CHECK!