Since g is an even function, g(−4)=g(4)=8. Alternatively: First find the value of a, and then find g(−4). Since g(4)=8,substituting 4 for x and 8 for g(x) gives 8=a(4)2+=16a+. Solving this last equation gives a=−1. Thus g(x)=−x2+24 ,from which if follows that g(−4)=−(−4)2+24;g(−4)=−16+24; and g(−4)=8 Choices B, C, and D are incorrect because g is a function and there can only be one value of g(−4).