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For each function below, identify the function as linear, quadratic, or neither. a f(x) = 22 - 2 Of(x) = 8 - x Of(x) = 7x +8 Of(x) = - 9x2 -5 - 2x 6 + 5x Of(x) = 2 Of(x) = x2 + 2x -6 Of(x) = -3-922 6 Of(x) = -6 Of(x) = Vx-8- 9x\f\f\f\fFill in the table of values below. (To fill in missing a; values, use trial and error based on patterns you see.) Based on your table, what is the vertex of the graph of this function? Enter your answer as an ordered pair. Use the dot tool to plot the points you found. If the y coordinate of a point doesn't appear in the table, you can ignore that point. Then, use the parabola tool to draw the graph, by first clicking the vertex, then another point that you've plotted. (If you have graphed correctly, your parabola will pass through all of the points you plotted, no matter which one you pick.) y kLhOxHGoND Use the dot tool to plot the points you found. If the y coordinate of a point doesn't appear in the table, you can ignore that point. Then, use the parabola tool to draw the graph, by first clicking the vertex, then another point that you've plotted. (If you have graphed correctly, your parabola will pass through all of the points you plotted, no matter wigch one you pick.) 8 7 6 5 4 3 2 I -5 -4 -3 -2 -1 I 2 3 4 5 . . . . . _9 . Clear All Draw: A 0 Looking at your graph and your table, what is the y-intercept of the graph? Enter your answer as an ordered pair. 0 y-intercept(s): The graph has no y-intercept. For what x value(s) does the graph have an -intercept? Select all that apply. O The exact value x = - 4 A value of x between - 4 and - 3 O The exact value x = - 3 A value of x between - 3 and - 2 O The exact value x = - 2 A value of x between - 2 and - 1 The exact value x = - 1 A value of x between - 1 and 0 The exact value x = 0 A value of a between 0 and 1 The exact value x = 1 A value of x between 1 and 2 The exact value x = 2 A value of x between 2 and 3 The exact value x = 3 A value of x between 3 and 4 The exact value x = 4 The graph has no x-intercepts.In physics, when an object is launched or thrown upward and then allow to fall freely, it is called a projectile, and its height above the ground is best modeled by a quadratic function. The data table below shows the height above the ground, y, of a ball 93 seconds after it is thrown. Time(seconds) Height(meters) a: y .5! I Use the quadratic regression feature of your calculator to find the parabola of best fit for the data. Round coeficients to 3 decimal places. Y Part 2 of 4 Find the coordinates of the vertex. Round each value to 3 decimal places. Y Part 3 of 4 Which of these is a correct interpretation of the vertex in the context of the problem? The ball reaches a minimum height of 14.5 meters after 1.6 seconds. The ball reaches a maximum height of 1.6 meters after 14.5 seconds. 0 The ball reaches a maximum height of 14.5 meters after 1.6 seconds. The ball reaches a minimum height of 1.6 meters after 14.5 seconds. 06 Part 4 of 4 Use your equation of best fit and the "intersect" feature on your calculator to find the time(s) when the ball is exactly 3 meters above the ground. Round values to three decimal places. If there is more than one time, list all times, separated by commas. seconds Consider the function y = 23:2 8:1: + 8. Fill in the table of values below. (To fill in missing a: values, use trial and error based on patterns you see.) Based on your table, what is the vertex of the graph of this function? Enter your answer as an ordered pair. Use the dot tool to plot the points you found. If the y coordinate of a point doesn't appear in the table, you can ignore that point. Then, use the parabola tool to draw the graph, by first clicking the vertex, then another point that you've plotted. (If you have graphed correctly, your parabola will pass through all of the points you plotted, no matter which one you pick.) 8 7 6 5 4 3 2 1 -5 -4 -3 -2 -I I 2 3 4 5 . . . . _9 . Clear All Draw: A 0 Looking at your graph and your table, what is the y-intercept of the graph? Enter your answer as an ordered pair. 0 y-intercept(s): The graph has no y-intercept. For what a value(s) does the graph have an x-intercept? Select all that apply. O The exact value x = - 4 A value of x between - 4 and - 3 O The exact value x = - 3 A value of x between - 3 and - 2 The exact value x = - 2 A value of x between - 2 and - 1 The exact value x = - 1 A value of x between - 1 and 0 The exact value x = 0 A value of a between 0 and 1 The exact value x = 1 A value of x between 1 and 2 OThe exact value x = 2 A value of x between 2 and 3 The exact value x = 3 A value of x between 3 and 4 The exact value x = 4 O The graph has no x-intercepts.Consider the function y = 2:2 + 4x 8. Fill in the table of values below. (To fill in missing 3 values, use trial and error based on patterns you see.) Based on your table, what is the vertex of the graph of this function? Enter your answer as an ordered pair. Use the dot tool to plot the points you found. If the y coordinate of a point doesn't appear in the table, you can ignore that point. Then, use the parabola tool to draw the graph, by first clicking the vertex, then another point that you've plotted. (If you have graphed correctly, your parabola will pass through all of the points you plotted, no matter which one you pick.) 8 7 6 5 4 3 2 I -5 -4 -3 -2 -1 I 2 3 4 5 . . . . _9 . Clear All Draw: A 0 Looking at your graph and your table, what is the y-intercept of the graph? Enter your answer as an ordered pair. 0 y-intercept(s}: The graph has no y-intercept. For what a value(s) does the graph have an x-intercept? Select all that apply. O The exact value x = - 4 A value of x between - 4 and - 3 The exact value x = - 3 A value of x between - 3 and - 2 The exact value x = - 2 A value of x between - 2 and - 1 The exact value x = - 1 A value of x between - 1 and 0 The exact value x = 0 A value of a between 0 and 1 The exact value x = 1 A value of x between 1 and 2 The exact value x = 2 A value of x between 2 and 3 The exact value x = 3 A value of x between 3 and 4 The exact value x = 4 The graph has no x-intercepts.Consider the function y = m2 2m + 7. Fill in the table of values below. (To fill in missing :1: values, use trial and error based on patterns you see.) Based on your table, what is the vertex of the graph of this function? Enter your answer as an ordered pair. Use the dot tool to plot the points you found. If the y coordinate of a point doesn't appear in the table, you can ignore that point. Then, use the parabola tool to draw the graph, by first clicking the vertex, then another point that you've plotted. (If you have graphed correctly, your parabola will pass through all of the points you plotted, no matter which one you pick.) 8 7 6 5 4 3 2 1 -5 -4 -3 -2 -1 I 2 3 4 5 . . . . _9 . ClearAll Draw: A 0 Looking at your graph and your table, what is the y-intercept of the graph? Enter your answer as an ordered pair. 0 y-intercept(s): The graph has no y-intercept. For what a value(s) does the graph have an x-intercept? Select all that apply. O The exact value x = - 4 A value of x between - 4 and - 3 O The exact value x = - 3 A value of a between - 3 and - 2 The exact value x = - 2 A value of x between - 2 and - 1 The exact value x = - 1 A value of x between - 1 and 0 The exact value x = 0 A value of a between 0 and 1 The exact value x = 1 A value of x between 1 and 2 The exact value x = 2 A value of x between 2 and 3 The exact value x = 3 A value of x between 3 and 4 O The exact value x = 4 The graph has no x-intercepts