Use a graphing calculator to graph the original function y=1/2x−4 and the vertically dilated function with a factor k=6. Determine the x-intercepts of both functions.
To graph the original function y = 1/2x - 4 on a graphing calculator, follow these steps:
1. Turn on the graphing calculator.
2. Press the "Y=" button to enter the equation editor.
3. Clear any existing equations by using the "Clear" button or the arrow keys.
4. Type in "1/2x - 4" into one of the equation slots.
5. Press the "Graph" button to display the graph of the original function.
To graph the vertically dilated function with a factor k = 6, we simply multiply the original function by 6. So the new function is y = 6(1/2x - 4).
To graph the dilated function on a graphing calculator, follow these steps:
1. Press the "Y=" button to enter the equation editor.
2. Clear any existing equations by using the "Clear" button or the arrow keys.
3. Type in "6(1/2x - 4)" into one of the equation slots.
4. Press the "Graph" button to display the graph of the dilated function.
To find the x-intercepts of both functions, follow these steps:
1. Press the "2nd" button followed by the "TRACE" button to enter the "CALC" menu.
2. Choose the option "2: zero" to find the x-intercepts.
3. Move the cursor closer to the x-intercept on the graph using the arrow keys.
4. Press the "ENTER" button to obtain the x-intercept.
5. Repeat steps 2-4 for the other function.
Note: The actual values of the x-intercepts may vary depending on the graphing calculator used and the window settings.