jpthomas25 jpthomas25

Today at 1:30 AM
Mathematics

Answered

100 POINTS!!!!
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)

Answer :

26olssona 26olssona

Today at 1:34 AM

Answer:

Part A: In order to find the x-intercepts, you should set f(x)=0. Then, . and .

Part B: From the function, it is visible that it is going to be a minimum, because the function is cup-size. Vertex coordinates can be calculated by the formula . Then and . The vertex coordinates are (-1.25, -0.125)

Part C: By using the vertex coordinates, we can construct the vertex of the function and then using the information about the x-intercept we can complete the function. The function looks like in the picture below.

Step-by-step explanation:

Answer Link

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