Question

X^2-3/4x+1/8=0 Graphing quadratic equations

Answer 1

To graph the quadratic equation, we can use a table of values.

Step 1: We make a two-column table. We label the columns x and y.

Step 2: We choose several values for x and put them as separate rows in the x column.

Step 3: We evaluate the function for each value of x.

`\begin{gathered} x=-3 \\ y=x^2-(3)/(4)x+(1)/(8) \\ y=(-3)^2-(3)/(4)(-3)+(1)/(8) \\ y=9+(9)/(4)+(1)/(8) \\ y=(72)/(8)+(18)/(8)+(1)/(8) \\ y=(91)/(8) \\ y=11.375 \end{gathered}`

`\begin{gathered} x=-2 \\ y=x^2-(3)/(4)x+(1)/(8) \\ y=(-2)^2-(3)/(4)(-2)+(1)/(8) \\ y=4+(6)/(4)+(1)/(8) \\ y=(32)/(8)+(12)/(8)+(1)/(8) \\ y=(32+12+1)/(8) \\ y=5.625 \end{gathered}`

And so on.

Step 4: We write the result in the y column next to the x value we used.

Step 5: We plot and join the found ordered pairs.

Therefore, the graph of the quadratic equation is: