!! PLEASE HELP

f(x) = −16x2 + 24x + 16

Part A: What are the x-intercepts of the graph of 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)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.

The x intercepts will be when the factors equal zero. The maximum and minimum is dependent on the leading coefficient.

Step-by-step explanation:

Factor this trinomial into two binomials, then set each factor equal to zero to solve for x, these will be the intercepts your teacher is asking for. You could also use quadratic formula to find them.

Then look at the leading coefficient. Is it positive or negative? Remember if positive the parabola goes up and negative the parabola goes down.