(08.07 HC)
An expression is shown below:

f(x) = 2x2 − 5x + 3

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 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)

Question

(08.07 HC)
An expression is shown below:

f(x) = 2x2 − 5x + 3

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 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)

Ferredoxin4 · Answer

Sorry if I'm a month late.

A. x-intercepts are roots. Do you know how to find them? I suggest using the quadratic formula here.

B. Quadratic functions with a POSITIVE leading coefficient have minimums as their vertex, while ones with NEGATIVE leading coefficients have maximums as their vertex. Apply this and answer the first part. The coordinates of the vertex is (-b/2a, f(-b/2a)). You can solve for this.

C. I would consider:
Both x-intercepts
The vertex and AOS
The domain and range
The directrix and focus

To make the graph