Final answer:
The y-intercept of the equation y = (x - 4)^2 - 1 is found by setting x to 0, which results in y = 15. Therefore, the y-intercept is 15, corresponding to the point (0, 15) on the y-axis.
Step-by-step explanation:
To find the y-intercept of the equation y = (x - 4)² - 1, we set x to 0 because the y-intercept occurs where the graph crosses the y-axis, and at this point, the value of x is always 0.
Substituting x with 0, we get:
y = (0 - 4)² - 1
y = 16 - 1
y = 15
Therefore, the y-intercept of the equation is 15. This means the point (0, 15) is where the graph intersects the y-axis.