Suppose a parabolic archway has a width of 280 cm and a height of 216 cm at its highest point above the floor. a) Write a quadratic function in vertex form that models the shape of this archway. b) Determine the height of the archway at a point that is 50 cm from its outer edge.
Suppose a parabolic archway has a width of 280 cm and a height of 216 cm at its highest point above the floor. a) Write a quadratic function in vertex form that models the shape of this archway. b) Determine the height of the archway at a point that is 50 cm from its outer edge.
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 1CT
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Question in picture. Vertex form is f(x)=a(x-p)^2-q
Transcribed Image Text:Ex//
Suppose a parabolic archway has a width of 280 cm
and a height of 216 cm at its highest point above the floor.
a) Write a quadratic function in vertex form that models
the shape of this archway.
b) Determine the height of the archway at a point that is
50 cm from its outer edge.
216 cm
-280 cm
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