Rewrite s f(x) = −0.10x2 + 3.6x − 2.4 and g(x)=-0.03x2+1.6x-6.87 from standard form to vertex form. Explain your process. State the vertex of each function, what does each vertex represent in context of 'The Twist'? Be sure to sketch each function, in standard form, and describe the steps you used to get there.
Rewrite s f(x) = −0.10x2 + 3.6x − 2.4 and g(x)=-0.03x2+1.6x-6.87 from standard form to vertex form. Explain your process. State the vertex of each function, what does each vertex represent in context of 'The Twist'? Be sure to sketch each function, in standard form, and describe the steps you used to get there.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Rewrite s f(x) = −0.10x2 + 3.6x − 2.4 and g(x)=-0.03x2+1.6x-6.87 from standard form to vertex form. Explain your process.
State the vertex of each function, what does each vertex represent in context of 'The Twist'?
Be sure to sketch each function, in standard form, and describe the steps you used to get there.
Transcribed Image Text:Last year, the Galaxy Fair Amusement Park installed a family roller coaster they named The
Twist. This coaster was designed to accommodate riders from age 4 to adult and features a tall
climb hill and several banking turns. Overall, the park has been disappointed in the reception of
The Twist, and very few families are riding the coaster this season. After some research, they
discovered that park guests think the climb hill
is too tall and fast for younger riders.
Galaxy Fair Amusement Park has asked a
roller coaster design firm to help them redesign
The Twist during the coming off season. The
quadratic function that represents the current
climb hill is f(x) = -0.10x² + 3.6x2.4
and the quadratic function that represents the
proposed redesign of the climb hill is g(x) =
-0.03x² + 1.62x - 6.87. In these functions,
the value of x represents the time, in seconds,
since the roller coaster train cars have left the
station, and the output variable is the height of
the roller coaster track, in feet, above the ground.
AA
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