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Here is the graph of the equation \( y = 4(x + 6)(x + 4) \). This is a parabolic curve that opens upwards, and its roots are at \( x = -6 \) and \( x = -4 \), which are the points where the parabola crosses the x-axis.

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Here are some related questions:
1. How do you find the vertex of a parabola?
2. What are the transformations applied to the parent function \( y = x^2 \) in this equation?
3. How does changing the constant outside the brackets (like the 4) affect the graph of a quadratic function?
4. Can you express the equation \( y = 4(x + 6)(x + 4) \) in standard form?
5. How would you solve this equation algebraically to find the x-intercepts?

**Tip:** When graphing quadratics in factored form, the x-intercepts can be quickly found by setting each factor equal to zero.

Learn how to graph the quadratic equation y = 4(x + 6)(x + 4). Understand its x-intercepts, vertex, and shape. This guide is suitable for students learning about graphing quadratic equations in Grades 9-10.

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