The correct function that accurately models the graph is:
h(x) = -431,620(x-90)^2 + 215
This equation represents a quadratic function, where h(x) represents the height of the ball at a given horizontal distance x.
Carla is watching a professional baseball game on television and sees a batter hit a home run over the fence. A graphic overlay comes up during the replay that shows how high and far the ball traveled in feet. Carla recognizes the shape to be a quadratic and wants to write an equation to represent the function. Which of the following functions accurately models the graph? (1 point) Responses The height reached by the ball, h(x), is given by the equation h(x)=−431,620(x−90)2+215, where x represents the horizontal distance. The height reached by the ball, h left parenthesis x right parenthesis , is given by the equation h left parenthesis x right parenthesis equals negative Start Fraction 43 over 1,620 End Fraction left parenthesis x minus 90 right parenthesis squared plus 215 , where x represents the horizontal distance. The height reached by the ball, h(x), is given by the equation h(x)=189,245(x−215)2+90, where x represents the horizontal distance. The height reached by the ball, h left parenthesis x right parenthesis , is given by the equation h left parenthesis x right parenthesis equals Start Fraction 18 over 9,245 End Fraction left parenthesis x minus 215 right parenthesis squared plus 90 , where x represents the horizontal distance. The height reached by the ball, h(x) , is given by the equation h(x)=−189,245(x−215)2+90, where x represents the horizontal distance. The height reached by the ball, h left parenthesis x right parenthesis , is given by the equation h left parenthesis x right parenthesis equals negative Start Fraction 18 over 9,245 End Fraction left parenthesis x minus 215 right parenthesis squared plus 90 , where x represents the horizontal distance. The height reached by the ball, h(x), is given by the equation h(x)=431,620(x−90)2+215, where x represents the horizontal distance.
1 answer