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)

Answer 1

To find the x-intercepts of the graph
\[f(x)=ax ^{2}+bc+c\]
Solve the equation
\[ax ^{2}+bx+c=0\]
The vertex form of the function is
\[f(x)= a(x+b/(2a))^2+c/a-(b/(2a)^{2}\]
The coordinates of the vertex is
\[(-b/(2a), f(-b/(2a)))\]
Use the x-intercepts, and the coordinates of the vertex
Also the line of symmetry is
\[x=b/(2a)\]
to plot the graph

Answer 2

that doesnt help me haha

Answer 3

\[f(x)=2x ^{2}-5x+3\]
Can you solve the equation
\[2x ^{2}-5x+3=0\]
Can you factorise the expression?