Find Y-Intercept of y=(x+3)²: Quadratic Function Analysis

To find the intersection of the parabola $y = (x+3)^2$ with the y-axis, we set $x = 0$ since any point on the y-axis has its x-coordinate as zero.

Step-by-step solution:

• Step 1: Substitute $x = 0$ into the equation: $y = (0+3)^2$.
• Step 2: Simplify the expression:
• $y = (3)^2$
• $y = 9$

Therefore, the intersection point of the parabola with the y-axis is $(0, 9)$.

Accordingly, among the given choices, the correct choice for the intersection is $(0, 9)$.