Let's work through the questions in the image you've provided. It's a set of mathematics multiple-choice questions in Indonesian related to transformations, reflections, and rotations of functions and lines.

Here are the translations and solutions for some of the questions:

1. Diketahui fungsi $y = 3x^2 - 4$ ditranslasikan oleh $\binom{0}{3}$.

The translation vector is $(0, 3)$, meaning that the function is shifted 3 units upwards.

Original function:
$y = 3x^2 - 4$

After translation:
The new function will be $y = 3x^2 - 4 + 3$, which simplifies to: $y = 3x^2 - 1$

Correct answer: a) $y = 3x^2 - 1$

2. Garis $m: 4x - 2y + 12 = 0$ digeser 2 satuan ke kiri.

The translation is to the left by 2 units, meaning that $x$ will be replaced by $x + 2$ in the equation.

Original equation:
$4x - 2y + 12 = 0$

Substitute $x$ with $x + 2$: $4(x + 2) - 2y + 12 = 0$ $4x + 8 - 2y + 12 = 0$ $4x - 2y + 20 = 0$

Correct answer: c) $4x - 2y + 20 = 0$

3. Garis digeser 1 satuan ke bawah menghasilkan garis $g': 3x - 2y - 11 = 0$.

This indicates a downward shift by 1 unit, which means that $y$ will be replaced by $y - 1$.

Original equation:
$3x - 2y - 11 = 0$

Substitute $y$ with $y - 1$: $3x - 2(y - 1) - 11 = 0$ $3x - 2y + 2 - 11 = 0$ $3x - 2y - 9 = 0$

Correct answer: d) $3x - 2y - 9 = 0$

4. Garis $p: 3x + 4y + 12 = 0$ direfleksikan terhadap sumbu Y.

To reflect a line over the y-axis, replace $x$ with $-x$.

Original equation:
$3x + 4y + 12 = 0$

Substitute $x$ with $-x$: $3(-x) + 4y + 12 = 0$ $-3x + 4y + 12 = 0$

Correct answer: b) $-3x + 4y + 12 = 0$

5. Rumus fungsi $y = 2^{x+1} - 4$ direfleksikan terhadap sumbu X.

To reflect a function over the x-axis, multiply the entire function by -1.

Original function:
$y = 2^{x+1} - 4$

After reflection:
$y = -(2^{x+1} - 4)$ $y = -2^{x+1} + 4$

Correct answer: d) $y = -2^{x+1} + 4$

Would you like further details on any specific questions, or assistance with the remaining problems? Here are five follow-up questions you might find helpful:

1. How would you reflect a function over the y-axis instead of the x-axis?
2. What is the difference between a translation and a reflection in mathematical transformations?
3. Can you explain how rotations of functions around a point work?
4. How does translating a line affect its equation?
5. What is the effect of rotating a line by 180 degrees around the origin?

Tip: When working with transformations, always identify whether the change is in the $x$-direction or $y$-direction to apply the correct substitution or adjustment.