1. The problem is to write the equation $y=(x+2)^2+3$ in standard form. 2. The standard form of a quadratic equation is $y = ax^2 + bx + c$. 3. Start by expanding the squared term: $$(x+2)^2 = x^2 + 2\cdot x \cdot 2 + 2^2 = x^2 + 4x + 4$$ 4. Substitute back into the equation: $$y = x^2 + 4x + 4 + 3$$ 5. Combine like terms: $$y = x^2 + 4x + 7$$ 6. This is the standard form of the given quadratic equation. Final answer: $$y = x^2 + 4x + 7$$