Let's solve the equation \( 15 - y = -3(x + 5)^2 \).

### Step 1: Isolate \( y \)
To isolate \( y \), subtract 15 from both sides:

\[
-y = -3(x + 5)^2 - 15
\]

Next, multiply both sides by -1 to solve for \( y \):

\[
y = 3(x + 5)^2 + 15
\]

### Final Answer:
The equation in terms of \( y \) is:

\[
y = 3(x + 5)^2 + 15
\]

Would you like further details or explanations? If so, feel free to ask!

Here are some related questions for you:
1. What is the vertex form of a quadratic equation?
2. How do you graph the equation \( y = 3(x + 5)^2 + 15 \)?
3. What is the effect of changing the coefficient of \( (x + 5)^2 \) on the graph?
4. How would you solve for \( x \) given a specific value of \( y \)?
5. How does shifting affect the parabola's orientation?

**Tip:** To identify the vertex of a quadratic function in the form \( y = a(x-h)^2 + k \), the vertex is at \( (h, k) \).

Learn how to solve the quadratic equation 15 - y = -3(x + 5)^2 with a detailed step-by-step solution. This problem covers algebraic concepts such as quadratic equations, vertex form, and transforming equations. Suitable for students in Grades 9-10.

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