2x 2 5x 3 graph

Asked by maham237 @ 18/02/2021 in Mathematics viewed by 339 People

F(x) = 2x^2 − 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)

Will medal and that other thing

Answered by maham237 @ 18/02/2021

Part A: In order to find the x-intercepts, you should set f(x)=0. Then, $f(x)=2 x^{2} -5x+3=0$ . $x_{1} = 1$ and $x_{2}= 1.5$ .

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 $x= -\frac{b}{2a}$ . Then $x=-1.25$ and $y=-0.125$ . 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.

2x 2 5x 3 graph

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