Posted by **Jon** on Saturday, March 1, 2008 at 1:19pm.

The shape of a supporting arch can be modeled by h(x)= -0.03^2+3x, where h(x) represents the height of the arch and x represents the horizontal distance from one end of the base of the arch in meters. Find the maximum height of the arch.

- Algebra II -
**Reiny**, Saturday, March 1, 2008 at 1:31pm
You probably meant h(x)= -0.03x^2+3x

several ways to do this

1. by Calculus, find derivative, set it equal to zero and solve

2. by completing the square and changing the equation to the standard form of a parabola

3. in this case this is the easiest way:

since it factors to

h(x)= x(-0.03x+3)

and when h(x) = 0, x = 0 or -.03x+3=0

yielding x = 100

so the x-intercept of this parabola are 0 and 100, which means that the vertex is at the midway, or at x=50

so h(50) = 75

## Answer This Question

## Related Questions

- Algebra II - The question simply states-solve. -x^4+200=102x^2 I rearranged the ...
- Algebra 2 - The arch of the Gateshead Millennium Bridge forms a parabola with ...
- algebra - The drama club is building a backdrop using arches whose shape can be ...
- physics - You are driving into St. Louis, Missouri, and in the distance you see ...
- physic - You are driving into St. Louis, Missouri, and in the distance you see ...
- 11th grade - in the distance you see an arch 192m. you estimate your line of ...
- math - McDougal's Restaurant has a play area for children under and around their...
- MATH - test tomm so plz reply back fast a concrete bridge over a river has an ...
- Algebra 2 - Te arch of the Sydeny Harbor Bridge can be modeled by y= -0.00211x^2...
- Math - An engineer is desingning a parabloic arch, the arch must be 15 m high , ...

More Related Questions