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The problem asks which of the given quadratic functions is in *standard form*. Standard form of a quadratic equation is:

\[
ax^2 + bx + c
\]

where \(a\), \(b\), and \(c\) are constants.

Now let's analyze each option:

1. **\(y(x) = -(x - 6)^2 + 16\)**:
   - This is in *vertex form*, not standard form. The vertex form is \(a(x - h)^2 + k\).

2. **\(f(x) = (x + 1)^2 + 0\)**:
   - This is also in *vertex form*.

3. **\(g(x) = -3(x - 3)^2 + 4\)**:
   - This is in *vertex form* as well.

4. **\(h(x) = 2x^2 - 8x - 10\)**:
   - This is in *standard form* because it follows the format \(ax^2 + bx + c\).

Thus, the correct answer is **\(h(x) = 2x^2 - 8x - 10\)**.

Would you like further details or have any questions?

Here are 5 questions to consider:
1. How can we convert vertex form to standard form?
2. What is the role of the coefficient \(a\) in a quadratic function?
3. How do the constants \(b\) and \(c\) affect the graph of a quadratic function?
4. What is the general form of the quadratic equation?
5. How does completing the square relate to quadratic functions?

**Tip:** Vertex form is useful for identifying the vertex of a parabola easily, but for solving and analyzing, standard form is often preferred.

Which quadratic function is in standard form?

Understand how to identify a quadratic function in standard form with this example. Learn the differences between standard and vertex forms of quadratic equations. Suitable for students in Grades 9-10.

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