3. (08.07 HC)
An expression is shown below:

f(x) = −16x2 + 60x + 16

Part A: What are the x-intercepts of the graph of the f(x)? Show your work. (2 points)

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

(10 points)

Iwill mark brainliest for the answer that is correct and worth 30 points the distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph: a graph titled motion of ant is shown. the graph shows time in seconds on the x-axis and the distance from hole in centimeters on the y-axis. the scale on the x-axis is shown from 0 to 6 at increments of 1, and the scale on the y-axis is shown from 0 to 12 at increments of 2. the graph has 3 straight lines. the first line is labeled p and joins ordered pairs 0, 0 and 2, 6. the second line is labeled q and joins ordered pairs 2, 6 and 3, 6. the third line is labeled r and joins ordered pairs 3, 6 and 5, 0. part a: is the graph linear or nonlinear? explain your answer. (2 points) part b: in which segments is the graph increasing, decreasing, and constant? (3 points) part c: in your own words, describe the motion of the ant, as shown on the graph. (5 points)