please help me im so confused with Algebra :(

An expression is shown below:
f(x)=-16x^2+8x+3

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

Question

please help me im so confused with Algebra :(

An expression is shown below:
f(x)=-16x^2+8x+3

Part A: What are the x-intercepts if 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 the graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.

blurbendy · Answer

you can simplify this function to be

f(x) = -(4x-3)(4x+1)

4x - 3 = 0
x = 3/4

4x +1 = 0
x = -1/4

Can you figure out B?