Question

Please Help !!!!! I'll Give Medals!!!!!

F(x) =-16x^2 +22x+ 3


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

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

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

Answer 1

Since a = -16 (negative) the parabola graph is downward.
To get the two x intercepts, solve the equation: -16x^2 + 22x + 3 = 0
The 2 x-intercepts are: x1 = ...... , x2 = .......
Since the parabola is downward, there is a max.
The x-coordinate of the max vertex (or the parabola axis) is -b/2a =
To get the y of the vertex, replace in F(x) the x-coordinate of the vertex.

Answer 2

Steps to graph F(x)
Step 1: plots the 2 x-intercepts
Step 2: Draw the parabola axis (-b/2a)
Step 3: Plot the max vertex.
Step 4: Draw the parabola, from the vertex to the 2 x-intercepts.