You are the park's coaster engineer. The contract says what the hill has to do — where the crest sits, where it touches down, how high it leaves the platform. It never gives you the equation. That is the job.
Type the track and the park builds exactly what you wrote. Any correct form works: -2(x-3)^2+8 and -2x^2+12x-10 are the same hill, so the same coaster rides.
Then the crew asks you one thing about the curve you just wrote — and they build to your answer. Get it wrong and they pour the pad in the wrong place.
^ for powers, * optional.Curve Rider drills SAT Advanced Math: writing equations for nonlinear functions and finding the key features of a parabola. The park hands you a contract for a coaster hill, where the crest sits, where it touches the ground, how high it leaves the platform. It never gives you the equation. You write it, and the park builds exactly what you typed.
Read the contract, then type a track equation in the box. A keypad gives you x, the ^ symbol for powers, and parentheses. Any algebraically equivalent form works: vertex form and standard form describe the same hill, so both ride. Hit Draft to check every marker on paper, then Build it. The crew then asks one thing about the curve you wrote, the touchdown or the crest height, and they build to your answer.
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SAT Advanced Math. You practice writing equations for nonlinear functions, working with quadratics in vertex and factored form, and finding key features like the vertex and the zeros of a parabola.
No. The park checks the track by its shape, not its spelling, so vertex form, factored form, and standard form all pass as long as the curve hits every marker the contract asks for. Curve Rider stays with parabolas, so keep it to x and x².
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