Search resFacebookdodge carDieHard Pcar batter(1568) TainCopy of 8Scienti:FLVSB LessonsAssessmentsGradebookEmail 1ToolsThe quadratic functions f(x) and g(x) are described in the table.\begin{tabular}{|c|c|c|}\hlinex & f(x) & g(x) \\\hline−6 & 36 & 4 \\\hline−5 & 25 & 1 \\\hline−4 & 16 & 0 \\\hline−3 & 9 & 1 \\\hline−2 & 4 & 4 \\\hline−1 & 1 & 9 \\\hline 0 & 0 & 16 \\\hline 1 & 1 & 25 \\\hline 2 & 4 & 36 \\\hline\end{tabular}In which direction and by how many units should f(x) be shifted to match g(x) ?Left by 4 unitsRight by 4 unitsLeft by 8 unitsRight by 8 units
Q. Search resFacebookdodge carDieHard Pcar batter(1568) TainCopy of 8Scienti:FLVSB LessonsAssessmentsGradebookEmail 1ToolsThe quadratic functions f(x) and g(x) are described in the table.\begin{tabular}{|c|c|c|}\hlinex & f(x) & g(x) \\\hline−6 & 36 & 4 \\\hline−5 & 25 & 1 \\\hline−4 & 16 & 0 \\\hline−3 & 9 & 1 \\\hline−2 & 4 & 4 \\\hline−1 & 1 & 9 \\\hline 0 & 0 & 16 \\\hline 1 & 1 & 25 \\\hline 2 & 4 & 36 \\\hline\end{tabular}In which direction and by how many units should f(x) be shifted to match g(x) ?Left by 4 unitsRight by 4 unitsLeft by 8 unitsRight by 8 units
Identify common y-values: Look at the x-values where f(x) and g(x) have the same y-values. For f(x), the y-value is 0 at x=0. For g(x), the y-value is 0 at x=−4.
Shift f(x) left: Since the zeros of the functions are 4 units apart, with g(x) having a zero at a smaller x-value, f(x) needs to be shifted to the left to match g(x).
Calculate shift distance: The shift is exactly 4 units to the left because that's the difference between the x-values of the zeros of f(x) and g(x).
More problems from Pascal's triangle and the Binomial Theorem