Use a graphing calculator to graph the original function y = -x - 4 and the vertically
dilated function with a factor k = 6. Determine the x-intercepts of both functions.
The original function has an x-intercept of (8, 0), and the dilated function has an x-
intercept of (8, 0).
The original function has an x-intercept of (0, -4), and the dilated function has an x-
intercept of (0,-24).
The original function has an x-intercept of (8, 0), and the dilated function has an x-
intercept of (48, 0).
The original function has an x-intercept of (-8, 0), and the dilated function has an x-
intercept of (-8,0).
To graph the original function y = -x - 4 and the vertically dilated function with a factor k = 6 on a graphing calculator, follow these steps:
1. Enter the original function y = -x - 4 into the calculator and graph it.
2. Enter the dilated function y = 6(-x) - 4 into the calculator and graph it as well.
3. Take note of where the functions intersect the x-axis, as those points will be the x-intercepts.
4. Determine the coordinates of the x-intercepts for both functions.
Based on the options provided, the correct answer is:
The original function has an x-intercept of (8, 0), and the dilated function has an x-intercept of (48, 0).