odeling with quadratic functions\njavon kicks a soccer ball into the air. the function ( f(x)=-16(x…

odeling with quadratic functions\njavon kicks a soccer ball into the air. the function ( f(x)=-16(x - 2)^2+64 ) represents the height of the ball, in feet, as\na function of time, ( x ), in seconds. what is the maximum height the ball reaches?\n2 feet\n64 feet\n16 feet\n32 feet

odeling with quadratic functions\njavon kicks a soccer ball into the air. the function ( f(x)=-16(x - 2)^2+64 ) represents the height of the ball, in feet, as\na function of time, ( x ), in seconds. what is the maximum height the ball reaches?\n2 feet\n64 feet\n16 feet\n32 feet

Answer

Explanation:

Step1: Analizar la forma del la función cuadrática

La función ( f(x)=-16(x - 2)^{2}+64 ) está en la forma ( y=a(x - h)^{2}+k ), donde ( (h,k) ) es el vértice de la parábola.

Step2: Determinar el valor máximo

Como ( a=-16<0 ), la parábola se abre hacia abajo y el vértice ( (h,k)=(2,64) ) es el punto máximo. El valor ( k ) representa la altura máxima.

Answer:

64 feet