Sean \( f(x)=-9 x^{2}+36 x \) y \( g(x)=a(x+1)(x-r) \), con \( a \in R, r \in R \). Si los gráficos de \( f \) y de \( g \) tienen el mismo vértice, entonces los valores de \( a \) y \( r \) son Seleccione una:

8. \( \frac{\sqrt{27 a^{3} b^{6}}}{\sqrt{3 a b^{6}}-5 a b^{2}}= \)

1) \( \frac{10 x+8}{3 a-b}-\frac{9 x+5}{3 a-b}= \)

5.7 Determine the equation of \( h \) if \( h(x)=g(x+1)-2 \)

In the \( x y \)-plane, a parabola has vertex \( (9,-14) \) and intersects the \( x \)-axis at two points. If the equation of the parabola is written in the form \( y=a x^{2}+b x+c \) where \( a, b \), and \( c \) are constants, which of the following could be the value of \( a+b+c \) ? (A) -23 (B) -19 (D) -12

a. \( \frac{2 x^{3}+6 x-6}{x^{3}-1} \)