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.