Quadratic Equations

[waloshin]

1) Find the equation of a quadratic with x-intercepts at -2 and 4 and passing through the point (0,1).

2) A farmer wishes to fence off a rectangular plot of land along the side of a river. Since the river is very deep, he does not need to build a fence along the river. If he has 600 m of fencing, what dimensions should he use in order to maximize the area of the field What is the maximum area

3) A golf ball is hit and it lands 300 m down the fairway. Find the equation that relates the height of the golf ball to the horizontal distance it has traveled if the maximum height reached by the ball is 75 m. A tree that is 15 m high is located 250 m down the fairway. Would the ball have cleared the tree if the tree was in its direct course?

[r.j.s]

You don't do your homework do you?

[fireshot91]

1) Find the equation of a quadratic with x-intercepts at -2 and 4 and passing through the point (0,1).
Y=m(slope)x+ b (y intercept). the slope is rise/run (-3/2) if I did it correctly. and B is the Y intercept (Where the line crosses the Y axis- 0). The equation is (-3/2)x=y
2) A farmer wishes to fence off a rectangular plot of land along the side of a river. Since the river is very deep, he does not need to build a fence along the river. If he has 600 m of fencing, what dimensions should he use in order to maximize the area of the field What is the maximum area
I don't think it would matter. They'll all have the same area if its an actual square/rectangle and he uses all the 600m of fencing.
3) A golf ball is hit and it lands 300 m down the fairway. Find the equation that relates the height of the golf ball to the horizontal distance it has traveled if the maximum height reached by the ball is 75 m. A tree that is 15 m high is located 250 m down the fairway. Would the ball have cleared the tree if the tree was in its direct course?

75x=15(250) right? I'm pretty sure I'm wrong on this one.

[neoserver]

75x=15(250) right? I'm pretty sure I'm wrong on this one.

Well first of all the question asks for a quadratic, not a linear equation. Since you should know that a quadratic has the form of ax^2+bx+c , you have one point, (0,1) if you plug x=0 in then, you know c=1.

The rest is up to you.

[mkrishnan]

Please do your own homework... these aren't even interesting brain teasers. These are basic algebra questions that take 30 seconds to solve....