An expression is shown below:

f(x) = 4x2 + 8x − 5

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.

Respuesta :

The vertex of the function f(x) = 4x^2 + 8x - 5 is a minimum, and it has its coordinate to be (-1,-9)

Part A: The x-intercepts of the graph of f(x)

The function is given as:

f(x) = 4x^2 + 8x - 5

See attachment for the graph of f(x).

The x-intercept is the point where the graph crosses the x-axis.

So, the x-intercepts are -2.5 and 0.5

Part B: The vertex of the graph of f(x)

From the attached graph, we can see that the vertex is a minimum, and it has its coordinate to be (-1,-9)

Part C: Steps to graph f(x)

Plot the x-intercept and the vertex, and connect the points

Read more about quadratic functions at:

https://brainly.com/question/4820005

Ver imagen MrRoyal