Plotting (0,-1.25) on a Quadratic Number Line

To plot the point (0,-1.25) on a quadratic number line, follow the steps given below:

Step 1: Understand the Quadratic Number Line

A quadratic number line is a number line that represents the quadratic equation y = ax^2 + bx + c. It is used to plot points in a two-dimensional coordinate plane.

Step 2: Identify the Values of a, b, and c

To plot a point on a quadratic number line, you need to know the values of a, b, and c in the quadratic equation. The point (0,-1.25) can be represented as (x,y), where x = 0 and y = -1.25. To find the values of a, b, and c, you need to use the standard form of the quadratic equation: y = ax^2 + bx + c.

Step 3: Use the Point to Find the Value of c

Substitute the values of x and y into the quadratic equation: y = ax^2 + bx + c. Since x = 0 and y = -1.25, the equation becomes -1.25 = a(0)^2 + b(0) + c. Simplifying the equation, you get -1.25 = c. Therefore, the value of c is -1.25.

Step 4: Plot the Point on the Quadratic Number Line

To plot the point (0,-1.25) on the quadratic number line, draw a horizontal line at y = -1.25. This line represents the value of c. Then, plot the point (0,-1.25) on this line. The point will be located at the intersection of the horizontal line and the y-axis.

Conclusion

In conclusion, plotting (0,-1.25) on a quadratic number line involves understanding the quadratic equation, identifying the values of a, b, and c, using the point to find the value of c, and then plotting the point on the quadratic number line. By following these steps, you can accurately plot any point on a quadratic number line.