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An expression is shown below:

f(x) = −16x2 + 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)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.

Answer :

Answer:

Part A:

0 = -16x^2 + 22x + 3

x intercepts = (-0.125, 0) and (1.5, 0)

Part B:

It's going to be a maximum. This is because, the graph opens to the bottom. The coordinates are approximately (0.69, 10.56).

Part C:

I would plug in various x values, then solve for the y value. Repeat the process, and get a good idea of the graph.

Hope this helps!

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