1. 29. To achieve a wider parabola from the graph of \( y=x^{2} \) using GeoGebra, you would: a. Subtract a number from \( x^{2} \) b. Multiply the entire equation by a coefficient less than 1 o. Add a number to \( x^{2} \) d. Multiply a by a coefficient less than 1

To achieve a wider parabola from the graph of \( y=x^{2} \), you would multiply the equation by a coefficient less than 1 (option b). This decreases the "steepness" of the parabola, making it wider. For instance, changing the equation to \( y=0.5x^{2} \) stretches it horizontally. In mathematics, the shape of a parabola is heavily influenced by the coefficient of the \( x^{2} \) term. A larger coefficient results in a narrower parabola, while a smaller coefficient produces a wider shape. This property makes it easier to manipulate parabolic graphs for various applications, such as designing projectile paths or optimizing certain functions.