An arch in the shape of a parabola is 20 feet wide at it's base and 15 feet tall at it's maximum height.

Let be the height, in feet, of the arch feet from the left-hand side.

find a formula for h(x)

find a relevant domain and range for h(x)

y =15-kx^{2}

The base is 20 feet wide. Hence (20,0) is on the curve

0=15 –k(20^{2}) or k =15/400 =3/80

Hence the equation of the parabola is y =15-3/80* x^{2}

http://www.algebra.com/algebra/homework/quadratic/Quadratic_Equations.faq.question.1287.html

Domain is (-infinity, infinity)

Range is (-infinity, 15)

Maximum for y is 15 when x=0

Minimum for y is -infinity

Secure Information

Content will be erased after question is completed.

Enter the email address associated with your account, and we will email you a link to reset your password.

Forgot your password?

Sign Up