Saturday

July 26, 2014

July 26, 2014

Posted by **Sophie** on Tuesday, October 25, 2011 at 5:24pm.

a) determine a quadratic fundtion that satisfies these conditions

b) what is the width of the arch at its base

- Math -
**Steve**, Wednesday, October 26, 2011 at 4:42amLet the arch be centered on the y-axis. Then the equation will be

y = -ax^2 + k

It will have height 6 at x = 3 and -3

The vertex will be at (0,15)

y = -ax^2 + 15

6 = -a(3^2) + 15

6 = -9a + 15

-9 = -9a

a = 1

y = -x^2 + 15

y=0 when x^2 = 15, so the width is 2√15 at its base

**Related Questions**

Math - An engineer is designing a parabolic arch. The arch must be 15 m high, ...

Algebra II - The shape of a supporting arch can be modeled by h(x)= -0.03^2+3x, ...

math - McDougal's Restaurant has a play area for children under and around their...

Math - Question: A tunnel with a parabolic arch is 12 m wide. If the height of ...

Math - gr.11 - A tunnel with a parabolic arch is 12m wide. If the height of the ...

physics - in the distance you see an arch 192 meters high, you estimate your ...

Algebra II - The question simply states-solve. -x^4+200=102x^2 I rearranged the ...

algebra - the gateway arch is the tallest man-made monument found in the united...

Math/Algebra - A bridge is built in the shape of a semi elliptical arch. It has ...

physic you sure - in the distance you see an arch 192 meters high, you estimate...