Q1. Graph the given equation on the coordinate plane provided.

Background

Topic: Graphing Functions

This question is testing your ability to plot the graph of a function or equation on a Cartesian coordinate system. This is a foundational skill in Precalculus, as it helps you visualize the behavior of different types of functions.

Key Terms and Formulas:

• Coordinate Plane: A two-dimensional plane formed by the intersection of a horizontal axis (x-axis) and a vertical axis (y-axis).

• Function: A relation between a set of inputs (x-values) and a set of possible outputs (y-values) where each input is related to exactly one output.

• Plotting Points: To graph a function, substitute values for x into the equation to find corresponding y-values, then plot these (x, y) pairs on the grid.

Step-by-Step Guidance

1. Identify the equation you are asked to graph. Make sure you understand its form (e.g., linear, quadratic, etc.).

2. Create a table of values: Choose several x-values (both positive and negative, if possible) and substitute them into the equation to find the corresponding y-values.

3. Plot each (x, y) point you calculated onto the provided coordinate grid.

4. After plotting enough points, observe the pattern and sketch the curve or line that connects them smoothly.

5. Check for any special features such as intercepts, symmetry, or vertex (for quadratics), but do not complete the graph yet.

Try solving on your own before revealing the answer!