Find Y-Intercept of y=(x-5)²: Quadratic Function Analysis

Find the intersection of the function

$y=(x-5)^2$

With the Y

To find the intersection of the function $y = (x-5)^2$ with the y-axis, we follow these steps:

• Step 1: Substitute $x = 0$ into the function to find the y-intercept.

Let's calculate:
- Substitute $x = 0$ into the function: $y = (0-5)^2$.
- Simplifying further, $y = (-5)^2 = 25$.

Thus, the intersection of the function $y = (x-5)^2$ with the y-axis occurs at the point $(0, 25)$.

Therefore, the correct answer is $(0, 25)$.