Dadas las funciones \( f(x)=\sqrt{x+2} \) y \( g(x)=x^{2}+3 x-1 \), se puede afirmar que la composición \( (g \circ f)(x) \)

Below is the graph of \( y=x^{3} \) Transform it to make it the graph of \( y=-2(x-4)^{3} \).

Find the center, transverse axis, vertices, foci, and asymptotes. Graph the equation. \[ y^{2}-4 x^{2}-24 x-8 y-24=0 \] The center of the hyperbola is at \( (-3,4) \). (Type an ordered pair.) The transverse axis is parallel to the

Transform it to make it the graph of \( y=-2(x-4)^{3} \).

Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at \( (-3,0) \) and \( (3,0) \); vertices at \( (1,0) \) and \( (-1,0) \) The equation is \( \square \).

La ecuación de la recta tangente a la hipérbola \( \frac{x^{2}}{6}-\frac{y^{2}}{8}=1 \) en el punto (3,-2): a. \( y=2 x+4 \) a b. \( y=-x-4 \) -c. \( y=x-2 \) d. \( y=2 x+1 \)