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At the state fair, Erin and her cousin ride the Ultra Drop roller coaster. When the ride plummets down the first hill, it dips below the loading platform. At the bottom, a camera snaps the riders’ picture before hurtling them back toward the sky.

The equation y = x2 – 9x + 20 models the roller coaster’s path over time. The variable y represents height (in feet) above or below the platform. At y = 0, the roller coaster is even with the platform. The variable x represents the amount of time (in seconds) since the ride began.

Factor and graph the equation to better understand Erin’s ride.Write the equation in factored form.

 

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