Solving x²+y=3: Finding Y-Axis Intersection Points

To solve this problem and determine where the function $x^2 + y = 3$ intersects the y-axis, we follow these steps:

• Step 1: Since the y-axis is where the x-coordinate is zero, set $x = 0$ in the given equation.
• Step 2: Substitute $x = 0$ into the equation $x^2 + y = 3$, which simplifies to $0 + y = 3$.
• Step 3: From the simplified equation, solve for $y$. The result is $y = 3$.

This indicates that the point of intersection on the y-axis is $(0, 3)$.

Accordingly, the solution to the problem is that the graph intersects the y-axis at the point $(0, 3)$.