Use the image to answer the question.

A concave curve is plotted in quadrant 1 of a coordinate plane. Eleven unlabeled points are plotted on the curve.

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)=−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)=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)=−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)=431,620(x−90)2+215, where x represents the horizontal distance.

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

The correct equation that accurately models the graph is: h(x) = -189,245(x - 215)^2 + 90, where x represents the horizontal distance.

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