Question

Use the function f(x) to answer the questions:

f(x) = 2x - x - 10
Part A: What are the x-intercepts the graph of 1(x)? Show your work (2 points)
Part B: Is the vertex of the graph of f(%) 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)

SHOW WORK

Answer 1

Explanation:

For f(x) = 2x2-3x -5

For Part A

Set f(x) = 0

Factor the Quadratic

Set the factors = 0

Solve each factor for x to find your x-intercepts

For Part B

You need to use the coefficients in your Quadratic

List them

a = 2 , b = -3 and c = -5

Since a is positive, your parabola opens up

Find the x coordinate of the vertex it is -b/2a

Once you get the x coordinate, plug it into to your Quadratic to get f(x) your y coordinate of the vertex

For Part C

You can plot the vertex, both x intercepts on a coordinate grid