Question

Use a graphing device to graph the parabola. x² = 16y

Answer 1

To graph the parabola x² = 16y using a graphing calculator, input y = (1/16)x² into the Y1 slot, and use the ZOOM feature to adjust the view. The resulting graph will show a parabola with its vertex at the origin and opening upwards. Lines Y2 and Y3 are parallel to the line of best fit and act as prediction bands.

Step-by-step explanation:

To graph the parabola described by the equation x² = 16y, you can follow these steps:

1. Begin by pressing the Y= key on your graphing calculator.
2. Type the equation in the form of y = (1/16)x² into the Y1 slot.
3. Press the ZOOM button, followed by the number 9 to fit the graph to your screen.
4. Your graph should now display the parabola with its vertex at the origin (0,0) and opening upwards.

For lines Y2 = -173.5 + 4.83x − 2(16.4) and Y3 = -173.5 + 4.83x + 2(16.4), since both have the same slope as the line of best fit, they are parallel and represent the confidence or prediction bands around the best fit line.