7) Which equation represents a function of \( x \) that is not linear? * \[ y=4(x+3) \] Option 1 \( y=4 x+3 x^{2} \) Option 2 Option 3

To determine which equation represents a function of \( x \) that is not linear, we need to analyze the given options. 1. **Option 1:** \( y = 4(x + 3) \) This equation can be simplified: \[ y = 4x + 12 \] This is a linear equation because it can be expressed in the form \( y = mx + b \), where \( m = 4 \) and \( b = 12 \). 2. **Option 2:** \( y = 4x + 3x^2 \) This equation contains a term with \( x^2 \): \[ y = 4x + 3x^2 \] This is a quadratic equation because of the \( 3x^2 \) term. Quadratic equations are not linear functions. 3. **Option 3:** (Not provided) Since we only have two options to analyze, we can conclude that: - **Option 1** is linear. - **Option 2** is not linear. Thus, the equation that represents a function of \( x \) that is not linear is: **Option 2:** \( y = 4x + 3x^2 \)