The Golden Gate Bridge

The Golden Gate Bridge is a bridge that falls across San Fransisco, connecting the North to the South. It is at the opening of the San Fransisco bay, and is painted bright red. It has two long bars that are connected to the endpoints of the bridge and also the two pillars on each side. The Golden Gate Bridge was built so people could travel from one side of San Fransisco to the other. It was opened to the public in 1938. The Golden Gate bridge is very popular in the bay area, and many people have traveled over it at one point. Everyone that lives near the bay area knows about this bridge, and it has a large parabola stretched across the whole bridge.

Points

(0,0)

(7,1) (9.9,2) (14,4)

(-7,1) (-9.9,2) (14,4)

Equation

y=1/49 x^2

The point (0,0) is the vertex of the function. There is no horizontal or vertical translation between the parent function, y=x^2. Taking the points (7,1) and (-7,1), we find that the coefficient is 1/49, when plugging in values for x and y. 7 squared is 49, and when divided by 49, it gives 1.

The equation is y=1/49 x^2

Gravity

What goes up must come down. Gravity creaties an intresting path. A baseball will show a path much like a parabola when thrown. To see it in action, just turn on your water hose. A constant stream of water takes a parabolic path thanks to gravity. They appear in fountains, hoses, waterfalls, and in anything that drops. Issac Newton found out how gravity worked in the story where an apple fell from a tree and hit the ground next to him. That led Newton to research the forces of the universe, and come up with the theory of gravity, as well as the three laws of motion. This is one of the most simple parabolas in the universe, and also one of the most common.

Points

(0,15)

(8,10) (13,2) (14,0)

(-8,10) (-13,2) (-14,0)

Equation

y=-1/13 x^2

Since there is a point at (0,15) the graph must be shifted 15 units up from the parent function, y=x^2. Also because of the points (13,2) and (-13,2) the coefficient is 1/13. Finally, the graph is reflected over the x axis so it must be multiplied by a negative.

The equation is y=-1/13 x^2