Unit 6 - Why Did the Cow Want a Divorce and x-intercept and y ... - Free Printable

It looks like you're working on a math problem involving graphing equations on a coordinate plane. Based on the image, there are two equations listed:

1. x = -3
2. y = |x|

Let’s solve and explain each one.

---

1. Graphing x = -3

This is a vertical line that passes through all points where the x-coordinate is -3, regardless of the y-value.

- On the grid, draw a vertical line at x = -3.
- This line will go straight up and down through the point (-3, 0), extending infinitely in both directions.

> ✔ This is a vertical line parallel to the y-axis.

---

2. Graphing y = |x|

This is the absolute value function.

- The graph of $ y = |x| $ forms a V-shape with its vertex at the origin (0, 0).
- For $ x \geq 0 $, $ y = x $ → a line with slope 1.
- For $ x < 0 $, $ y = -x $ → a line with slope -1.

So:
- Plot points like:
- $ x = -2 $ → $ y = 2 $
- $ x = -1 $ → $ y = 1 $
- $ x = 0 $ → $ y = 0 $
- $ x = 1 $ → $ y = 1 $
- $ x = 2 $ → $ y = 2 $
- Connect them to form a V-shaped graph.

> ✔ This is a V-shaped graph symmetric about the y-axis.

---

What's the task?

From the image, it appears you're being asked to graph both equations on their respective grids.

There is also a string of letters below the graphs:
"CSIHOWEHOFANDAPL", and a box labeled "Answer:" — this might be part of a puzzle or cipher where correct graphing reveals a hidden word.

But based on what we see:

- You’re likely supposed to graph x = -3 and y = |x| correctly.
- Then possibly identify something (like an intersection, or a letter formed by the graph) that helps decode the message.

---

Possible Interpretation: Decoding the Message

The letters under the graphs may be a code where each graph corresponds to a letter. For example:

- Each graph might represent a letter based on its shape.
- Or, after graphing, you trace the path or identify a point that spells a word.

But since only two equations are visible, and they’re standard, perhaps:

- The answer is simply "H" or "I", based on the graph shapes?

Wait — look at the labels near the graphs:
- One graph has a label “B” next to it.
- Another has “H”.

Possibly, each graph is associated with a letter, and you must select which graph matches the equation.

Alternatively, the correct graph for y = |x| should look like a V, so if you drew that correctly, maybe it corresponds to a certain letter.

But without more context, here's the most likely solution:

---

✔ Final Answer:

- Graph x = -3: Draw a vertical line at x = -3.
- Graph y = |x|: Draw a V-shaped graph with vertex at (0,0), going up through (1,1), (2,2), etc., and left through (-1,1), (-2,2).

If this is a puzzle, and you're supposed to fill in the answer, then:

👉 The correct answer might be "H" or "I", depending on the labeling.

But given that y = |x| is a V-shaped graph, and the letter "V" is often used to represent absolute value, it’s possible the intended answer is "V".

However, the options seem to be letters from the string: C S I H O W E H O F A N D A P L

Looking closely, the letter "H" appears twice. Could it be that the graph of y = |x| is meant to represent the letter "V", but none of the choices include "V"?

Alternatively, perhaps the intersection of the graphs is important.

But x = -3 and y = |x| intersect when:
- x = -3 → y = |-3| = 3
- So the point of intersection is (-3, 3)

Maybe this point corresponds to a letter?

But again, without more clues, the best we can do is:

---

✔ Step-by-step Solution:

1. For x = -3: Draw a vertical line at x = -3.
2. For y = |x|: Draw a V-shaped graph with vertex at (0,0), rising at 45° angles.
3. Intersection point: (-3, 3)
4. If this is a multiple-choice or code-based puzzle, the correct answer might be "H" (since the graph is labeled H), or "I", or based on the shape.

Given the ambiguity, and the fact that y = |x| is a classic V-shaped graph, and x = -3 is a vertical line, the correct graphs are as described above.

---

🟩 Final Answer (Most Likely):

Graph x = -3 as a vertical line, and y = |x| as a V-shaped graph.

If the question asks for the letter corresponding to the graph, and the graph of y = |x| is labeled H, then:

👉 Answer: H

But please confirm the exact question. If you can describe the full task or provide more details, I can give a more precise answer.