X = {3.898979486, -5.898979486}
x = {3.9 x -5.9}
The equation of the new function is
Explanation:
The Parent function is
We need to determine the new function g(x) using the transformation by stretching the f(x) horizontally by a factor of 4 and shifting it 1 unit up.
The function transformation formula is given by
Where a stretches the function vertically
b compresses or stretches it horizontally,
c shifts the function left or right
d shifts the function up or down
Since, it is given that the function stretches horizontally by a factor of 4 and shifting it 1 unit up.
Hence, and
Substituting these values in the formula, we have,
Thus, the equation of the new function is
4.5*10^-1 =0.45
2*10^-2 = <span>=<span>150 </span></span><span>(Decimal: 0.02)</span>
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Answer: PQ=5, QR=radical 61= 7.81, angle: 50degrees,</span>Why:PQ=|-3|+2=5PR=6<span>angle Alfa, so there is right angle triangle PQR so I can use following formula:</span>PQ^2 + RP^2=QR^2;25 + 36=QR^2;QR=radical 61<span>also I can use: sinus (angle)=PR/QR;</span><span>sin(angle)=6/radical61=0.76822 which gives angle to be little bit more than 50 degrees{sinus 50 degrees=<span>0,7660</span>}. </span>