Describe the transformations between y=x and y=-(x+1+5)

Question

make it simple and like a kid wrote it

Answer 1

Sure! Let’s think about the line y = x and how we can change it to get to the line y = -(x + 1 + 5).

1. Starting Point: We start with the line y = x. This is a straight line that goes up at an angle. If you draw it, it makes a 45-degree angle with the x-axis.

2. Change 1: Now, we look at y = -(x + 1 + 5). First, let’s simplify this line. If we add the numbers in the parentheses:

   • x + 1 + 5 = x + 6 So, we can write it as:
   • y = -(x + 6)

3. Change 2: Now, let’s think about what the negative sign means. The negative sign flips the line over the x-axis. So now, instead of going up, it goes down.

4. Change 3: The +6 means we move the whole line down. When we add a number inside the parentheses like (x + 6), it actually moves the line to the left.

So from y = x, we:

• Flip it to go down (because of the negative).
• Move it left by 6 units.

Overall, the line starts as a slant going up, but after these changes, it becomes a slant going down and shifting to the left!

In simple words:

1. Start with y = x (up).
2. Flip it (down).
3. Move it left by 6 spaces.

And that’s how we transform y = x into y = -(x + 1 + 5)!