Graphing Quadratic Function Worksheets - Free Printable

It looks like you've uploaded a worksheet titled "Identifying Zeros" that contains multiple graphs of polynomial functions, and the task is to identify the zeros (also known as roots or x-intercepts) of each function.

Since I can't view images directly, I'll guide you on how to solve this type of problem step-by-step. If you can describe the graphs or provide details about them (e.g., where they cross the x-axis), I can help you identify the zeros.

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🔍 How to Identify Zeros from a Graph

The zeros of a function are the x-values where the graph crosses or touches the x-axis (i.e., where $ y = 0 $).

Here’s how to find them:

1. Look at the x-axis: Find all points where the graph intersects the x-axis.
2. Read the x-coordinates of those points — these are the zeros.
3. Note multiplicity (optional, but helpful):
- If the graph crosses the x-axis: zero has odd multiplicity.
- If the graph touches and turns around (bounces): zero has even multiplicity.

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✔ Example:

Suppose one graph crosses the x-axis at $ x = -2 $, $ x = 1 $, and $ x = 3 $. Then the zeros are:
- $ x = -2 $
- $ x = 1 $
- $ x = 3 $

If it only touches at $ x = 1 $ and crosses at $ x = -2 $, then:
- $ x = 1 $ is a double root (multiplicity 2)
- $ x = -2 $ is a single root (multiplicity 1)

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📌 Instructions for You:

Please describe each graph (or tell me which ones you’re having trouble with), including:

- Where the graph crosses the x-axis
- Whether it crosses or just touches
- The scale of the axes (if not standard)

For example:
> "Graph 1: It crosses the x-axis at -3, 0, and 2."

Then I can give you the exact zeros and explain each one.

Alternatively, if you can list the coordinates of the x-intercepts from the graphs, I’ll format the answers neatly.

Let me know how you'd like to proceed!