Algebra 1 Worksheets | Domain and Range Worksheets - Free Printable

It looks like you've uploaded an image containing a worksheet titled "Graph and Shape Worksheet", which includes multiple graphs of functions and asks you to identify the correct equation that matches each graph. However, I can't view or access images directly.

To help you solve this, please provide the following:

1. Descriptions of the graphs (e.g., shape: parabola, line, hyperbola, etc.), their orientation, intercepts, asymptotes, or key features.
2. The list of equations provided in the worksheet (if any).
3. Or, describe the task clearly — for example: "Match each graph to its corresponding equation from the list below."

Alternatively, if you can type out the details of the graphs and equations, I’ll walk you through solving it step by step.

For now, here’s how such problems are typically solved:

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🔍 General Approach:

1. Identify the shape of the graph:
- Straight line → linear function: $ y = mx + b $
- Parabola → quadratic: $ y = ax^2 + bx + c $
- Hyperbola → rational function like $ y = \frac{1}{x} $ or $ xy = k $
- Absolute value → V-shaped: $ y = |x| $
- Exponential → rapid growth/decay
- Circle or ellipse → $ x^2 + y^2 = r^2 $ or similar

2. Look at key features:
- Intercepts (where graph crosses x- or y-axis)
- Symmetry (even/odd, reflection)
- Asymptotes (vertical/horizontal lines the graph approaches but never touches)
- Vertex (for parabolas), center (for circles)

3. Compare with given equations:
- Plug in values (like x = 0) to check y-intercept.
- Test behavior as x increases/decreases.
- Match signs and coefficients.

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💡 Example:
If one graph is a parabola opening upward with vertex at (0, 0), then the equation is likely $ y = x^2 $.
If it's a hyperbola with asymptotes along the axes, it might be $ y = \frac{1}{x} $.

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Please reply with:
- A description of the graphs and equations, or
- Type the content of the worksheet

And I’ll solve it for you!