50 Points - Use the function f(x) to answer the questions: f(x) = 2x2 − x − 10

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)

f(x) = 2x^2 - x - 10

Part A:

x-intercepts: (-2,0), (5/2,0)

Part B:

The vertex is the minimum

vertex: (1/4, -81/8)

Part C:

A:

x: -2, -1, 1/4, 1, 2

y: 0, -7, -81/8, -9, -4

B:

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: