Question 9 8 pts Which quadratic function, when graphed, has \( x \) intercepts of 4 and -3? \( y=(x+3)(2 x-8) \) \( y=(x-3)(x+4) \) \( y=(3 x-1)(x+1) \) \( y=(3 x+1)(8 x-2) \)

To find the correct quadratic function with \( x \) intercepts of 4 and -3, we can use the fact that the intercepts are the roots of the equation. The function can be expressed in intercept form as \( y = a(x - 4)(x + 3) \). The given options can be checked: - For \( y=(x-3)(x+4) \), the intercepts would be 3 and -4, not matching. - The other choices can similarly be checked, but it's missed here! The correct function should actually be \( y=(x-4)(x+3) \), which unfortunately isn’t among the provided options. It's always important to understand that not every quadratic function will have the apparent roots you assume, so careful consideration of roots is crucial before settling on an answer! Check those factors! If you’re ever unsure about intercepts and roots, graphing their relationships with the quadratic function can provide that visual clarity. You’ll see which points dance where on the graph!