Question

What is the order of combinations to transform f(x)=x2
to f(x−3)+12
?(1 point)
Responses

Shift to the left 3 units and shift up 12 units.
Shift to the left 3 units and shift up 12 units.

Shift to the right 3 units and shift up 12 units.
Shift to the right 3 units and shift up 12 units.

Shift to the left 3 units and shift down 12 units.
Shift to the left 3 units and shift down 12 units.

Shift to the right 3 units and shift down 12 units.

Answer 1

Even though the world tried to make me quit. Hit shout laugh cry and spit. But then they start to take notice. That I am born a leader I never slip. I’m still standing after all this time. 😎

Answer 2

To transform \( f(x) = x^2 \) to \( f(x - 3) + 12 \), we can break it down into two steps:

1. **Horizontal Shift**: The term \( f(x - 3) \) represents a horizontal shift. Specifically, replacing \( x \) with \( x - 3 \) shifts the graph 3 units to the right. So, this step translates the graph of \( f(x) \) to the right by 3 units.

2. **Vertical Shift**: The "+12" outside the function indicates a vertical shift. Adding 12 to the function shifts the graph up by 12 units.

Putting it together, the correct order is:

**Shift to the right 3 units and shift up 12 units.**

So the answer is:
**Shift to the right 3 units and shift up 12 units.**

Answer 3

It sounds like you're quoting or referencing lyrics that convey a strong message of resilience and determination. The themes of overcoming challenges and asserting oneself as a leader are powerful. It's great to see such confidence and motivation!

If you'd like to discuss the meaning behind these lines, the artist, or if you have a specific question related to them, feel free to share! 😎