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Answer: x = 14/23
Step-by-step explanation:
3x-6=4(2-3x)-8x
3x-6=8-12x-8x --> Expand 4(2-3x)
3x-6=8-20x --> Collect like terms
3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side
3x=-20x+14
3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side
23x=14
--> Divide both sides by 23
x = 14/23
The transformed equation , the graph is shifted 4 units to the left and 6 units down.
Explanation:
The parent equation is
The transformed equation is
By using the function transformation rules, we can see that the parent function is transformed into the function
Since, from the function transformation rules, we know that,
shifts the function b units to the left.
Thus, the transformed function is shifted 4 units to the left.
Also, from the function transformation rules, we know that,
shifts the function b units downward.
Thus, the transformed function is shifted 6 units down.
Thus, the transformed equation , the graph is shifted 4 units to the left and 6 units down.