Use the function f(x) to answer the questions.

f(x) = −16x2 + 22x + 3

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

Part B: Is the vertex of the graph of f(x) going to be a maximum or a 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)

Question

Use the function f(x) to answer the questions.

f(x) = −16x2 + 22x + 3

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

Part B: Is the vertex of the graph of f(x) going to be a maximum or a 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)

darkknight · Answer

x-intercepts you can find when you plug in 0 for y.

darkknight · Answer

Either factor or use quadratic formula

darkknight · Answer

Vertex is -b/2a for x coor and plug that back in for y coor

darkknight · Answer

depending on the - or + sign infront of a. If it is -a. it opens down and is a max,
If a then opens up and is a minimum

darkknight · Answer

You can graph x, y intercepts. Vertex and maybe a axis of symmetry.