Q. 4.2.3 Quiz: Parent FunctionsQuestion 10 of 10Which parent function is represented by the table?\begin{tabular}{|c|c|}\hline x & y \\\hline−2 & 4 \\\hline−1 & 1 \\\hline 0 & 0 \\\hline 1 & 1 \\\hline 2 & 4 \\\hline\end{tabular}
Analyze pattern in table: Analyze the given table to identify the pattern between the x and y values.The table shows the following pairs: (−2,4), (−1,1), (0,0), (1,1), and (2,4).We need to determine the relationship between x and y that is consistent for all pairs.
Identify relationship between x and y: Recognize that the y values are the squares of the x values for the pairs (−2,4), (−1,1), (1,1), and (2,4). The pair (0,0) also fits this pattern since 0 squared is 0.This suggests that the parent function could be y1, which is a quadratic function.
Verify quadratic function: Verify the pattern for all given x values by squaring each x and checking if it equals the corresponding y value.(−2)2=4, (−1)2=1, (0)2=0, (1)2=1, (2)2=4. All the squared x values match the y values in the table.
Conclude parent function: Conclude that the parent function represented by the table is the quadratic function y=x2.
More problems from Percents of numbers: word problems