Graphing+Quadratic+Functions-Target+C-Three+Representations-Practice+Problems

Target C: Analyze a quadratic function given multiple representations and identify and compare key features.
math \text{Graph and compare the following functions on the same graph}.\\ \ \\ f(x)=x^2\\ g(x)=x^2+4x+8\\ \ \\ \text{Then use those results to answer the questions below:} \\ \ \\ \textbf{1)} \ \text{What is the domain and range for} f(x) \text{?}\\ \ \\ \textbf{2)} \ \text{What is the domain and range for} g(x) \text{?}\\ \ \\ \textbf{3)} \ \text{Does} \ f(x) \text{have a minimum or maximum? What is it?}\\ \ \\ \textbf{4)} \ \text{Does} \ g(x) \text{have a minimum or maximum? What is it?}\\ \ \\ \textbf{5)} \ \text{As} \ x \rightarrow \infty \ \text{what happens to} \ f(x) \text{?}\\ \ \\ \textbf{6)} \ \text{As} \ x \rightarrow \infty \ \text{what happens to} \ g(x) \text{?}\\ \ \\ \textbf{7)} \ \text{As} \ x \rightarrow \text{-}\infty \ \text{what happens to} \ f(x) \text{?}\\ \ \\ \textbf{8)} \ \text{As} \ x \rightarrow \text{-}\infty \ \text{what happens to} \ g(x) \text{?}\\ \ \\ \ \\ \text{Given the tables of quadratic functions below:}\\ \text{a)} \ \text{Is there a minimum or a maximum?}\\ \text{b)} \ \text{Does it open up or down?}\\ \text{c)} \ \text{As} \ x \rightarrow \ \infty \ \text{what happens to the function?}\\ \text{d)} \ \text{What is the vertex?}\\ \ \\ \textbf{9)} \begin{array}{|c|c|c|c|c|c|} \hline x & \text{-}4 & \text{-}3 & \text{-}2 & \text{-}1 & 0\\ \hline f(x) & \text{-}4 & 1 & 4 & 5 & 4\\ \hline \end{array} \ \\ \ \\ \textbf{10)} \begin{array}{|c|c|c|c|c|c|} \hline x & \text{-}2 & \text{-}1 & 0 & 1 & 2\\ \hline g(x) & 10 & 7 & 6 & 7 & 10\\ \hline \end{array} \ \\ \ \\ \textbf{11)} \begin{array}{|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4\\ \hline h(x) & 9 & 4 & 1 & 0 & 1\\ \hline \end{array} \ \\ \ \\ \textbf{12)} \begin{array}{|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4\\ \hline j(x) & \text{-}2 & 1 & 2 & 1 & -2\\ \hline \end{array} \ \\ \ \\ \textbf{13)} \begin{array}{|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4\\ \hline k(x) & 6 & 3 & 2 & 3 & 6\\ \hline \end{array} \ \\ \ \\ \textbf{14)} \begin{array}{|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4\\ \hline d(x) & 21 & 16 & 13 & 12 & 13\\ \hline \end{array} math

math \text{Given the three quadratic functions:}\\ \ \\ \begin{array}{|c|c|c|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 & 6 & 7\\ \hline k(x) & 11 & 6 & 3 & 2 & 3 & 6 & 11\\ \hline \end{array} \ \\ \ \\ t(x)=x^2+1 math



math \textbf{15)} \ \text{Which function has the largest minimum value?}\\ \ \\ \textbf{16)} \ \text{Which function has the smallest minimum value?}\\ \ \\ \textbf{17)} \ \text{Which function(s) cross the x-axis twice?}\\ \ \\ \textbf{18)} \ \text{Which functions(s) touch the x-axis once?}\\ \ \\ \textbf{19)} \ \text{Which functions(s) don't touch or cross the x-axis?}\\ \ \\ \textbf{20)} \ \text{Order from least to greatest:} \ \ k(1)\text{,} \ t(1)\text{,} \ p(1)\text{.}\\

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math \text{Given the three quadratic functions:}\\ \ \\ \begin{array}{|c|c|c|c|c|c|c|c|} \hline x & \text{-}1 & 0 & 1 & 2 & 3 & 4 & 5\\ \hline k(x) & \text{-}9 & \text{-}4 & \text{-}1 & 0 & \text{-}1 & \text{-}4 & \text{-}9\\ \hline \end{array} \ \\ \ \\ m(x)=\text{-}(x-2)^2+2 math



math \textbf{21)} \ \text{Which function has the largest maximum value?}\\ \ \\ \textbf{22)} \ \text{Which function has the smallest maximum value?}\\ \ \\ \textbf{23)} \ \text{Which function(s) cross the x-axis twice?}\\ \ \\ \textbf{24)} \ \text{Which functions(s) touch the x-axis once?}\\ \ \\ \textbf{25)} \ \text{Which functions(s) don't touch or cross the x-axis?}\\ \ \\ \textbf{26)} \ \text{Which function has the smallest value for the y-intercept?}\\

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