Amanda

=__ Amanda's Fontaine D'eau étonnante <---Amanda's Amazing Water Fountain __=

Why is Amanda's Fontaine //better// than any other one? It is because of the **beautiful** array of spouting water...**9** of them to be precise! So you're thinking 'yea, that's what a fountain is suppose to do.' and our answer is; yes, however, what sets this fountain apart from the others is; the fact that each stream of water lights up at night in different colours ! **WOW!** S o C o o l, you can have your own lights show in your backyard. A new added feature is, if anyone walks by it at night it will light up illuminate the area. This feature is great to scare off robbers. Need another reason to buy it (although you probably made up your mind to buy it, when you started to read the first line)?
 * Most people were attracted to this fountain because of the most unique part that you'll never find any where else; the **base**. Yes, the base is an //absolute// thing of beauty. It has several sections that are "see-thru",--> many people choose to put decorative rocks and pebbles in those sections to add a custom look.
 * You can even connect the water supply to a nearby lake so that it will purify the water and will become filtered drinking water...**YUM!**

**__ Vertex/Standard Form: __**
Vertex: (0,18) Vertex: (0,12) Vertex: (0,4) Vertex: (0,25) Vertex: (0,30)  <---//highest point// Vertex: (0,27) Vertex: (0,29) For all the equations (of the parabolas), they are the same format for both Standard and Vertex form. The reason for this is because I centered all the parabolas at the origin. So all the x-value's of the vertex are 0. These equations are the only exeptions because they are not centred at zero. These equations do not have a vetex centred at 0.
 * __**Equation 1**__: y=-2(x)^2+18
 * __**Equation 2**:__ y=-.1875(x)^2+12
 * __**Equation 3**__: y=-.049(x)^2+4
 * **__Equation 4__:** y=-2.78(x)^2+25
 * __**Equation 5**__: y=-.208(x)^2+30
 * **__Equation 6__**: y=-.223(x)^2+27
 * **__Equation 7:__** y=-.59(x)^2+29
 * __**Equation 8 **__: y=-3x^2-18x-15
 * **__Equation 9:__** y=-3x^2+18x-15

__**Standard Form: **__ <span style="font-family: Verdana,Geneva,sans-serif;">In order to find what the maximum is I have to complete the square. **__<span style="font-family: Verdana,Geneva,sans-serif;">Equation 8 __:** y=-3(x-3)^2+12 Vertex: (3, !2) __**Equation 9**__**:** **y**=-3(x+3)^2+12 Vertex: (-3, 12)

Widest Points: D: (XER:-15 < X > 15)

__**<span style="font-family: Verdana,Geneva,sans-serif;">Highest Point: **__ <span style="font-family: Verdana,Geneva,sans-serif;">Has to be the y-intercept (c) in the equation y=Ax^2+Bx+C. All of the equations below have a negative 'A' because they are opening down. Since in my fountain all the coefficients in front of x^2 are negative the y-intercept has to be the highest point on the parabola. __**Equation 5:**__ y=-.208(x)^2+30 <span style="color: #800080; font-family: Verdana,Geneva,sans-serif;">Therefore the highest point is (0,30)