Set Fits
Set Fits
write a quadratic equation that fits each set of points ?
1.) (0,-8), (2,0), and (-3,-5)
2.) (-2,6), (0,-6), and (3,-9)
3.) (1,4),(-2,13), and (0,3)
Thanks
Greetings,
Let the form of the quadratic be f(x) = ax^2 + bx + c
1) f(0) = -8 = c
f(2) = 0 = 4a + 2b + c
f(-3) = -5 = 9a - 3b + c
c = -8
4a + 2b - 8 = 0, b = 4 - 2a
9a - 3b - 8 = 0
9a - 3(4 - 2a) - 8 = 0
9a - 12 + 6a - 8 = 0
15a = 20
a = 5/4
b = 4 - 5/2 = 3/2
f(x) = (5/4)x^2 + (3/2)x - 8
2) f(-2) = 6 = 4a - 2b + c
f(0) = -6 = c
f(3) = -9 = 9a + 3b - 6
4a - 2b - 6 = 6, b = 2a - 6
9a + 3(2a - 6) - 6 = -9
15a - 18 = -3
15a = 21
a = 7/5
b = 14/5 - 6 = -16/5
f(x) = (7/5)x^2 - (16/5)x - 6
3) f(1) = 4 = a + b + c
f(-2) = 13 = 4a - 2b + c
f(0) = 3 = c
a + b + 3 = 4, a = 1 - b
4a - 2b + 3 = 13
4(1 - b) - 2b = 10
4 - 4b - 2b = 10
-6b = 6
b = -1
a = 1 + 1 = 2
f(x) = 2x^2 - x + 3
Regards
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Whether you have three clubs or fourteen, you're going to need a golf bag. And while the quality of your bag shouldn't directly affect your game, how comfortable it is and how well it fits can significantly impact your morale as you play through the golf course.
Few things can make a game turn sour faster than a strap digging into your shoulder for 18 holes and having to carry your extra golf balls in a plastic bag. So, keep reading to learn about the three basic types of bags as well as some helpful tips on how to choose the best golf bag for your needs.
Golf Bag Varieties:
1. Carry Bags
A carry bag is small, lightweight and typically made from plastic, canvas or nylon. It can usually accommodate a basic set of essential golf clubs and a few accessories like balls, towels and tees and often comes with its own stand to hold it upright while you make your shot.
Because the carry bag is portable and easy to carry, it's the bag of choice for golfers who like to walk and carry their own bag. Essentially, the carry bag is the equivalent of packing light.
2. Cart Bags
The cart bag is a mid-sized bag and designed to fit either on a wheeled, hand-pushed golf cart or on the back of a motorized golf cart.
It can be fairly bulky and is often difficult to carry, but it offers more space than the lightweight carry bag.
3. Staff Bags
The staff bag is the largest style of golf bag. It is made to fit a full set of fourteen golf clubs along with all the accessories you need.
A staff bag is doable with a caddie or a motorized golf cart, but it can be somewhat unruly for the solo golfer, becoming more of a burden than a blessing.
How to Choose the Right Golf Bag
Choosing the right golf bag for you comes down to use and price; but first and foremost it's about how you plan to use it. Often the smaller bags are less expensive, but if you plan to walk yourself around the course, they're the better choice, and there are beautiful, high-quality carry bags available.
The price or quality of your bag isn't going to affect your game, but you should pick a bag that fits well and can carry everything you need to have a comfortable game, like an umbrella or an extra jacket. Before you purchase it, walk around the store with your bag and make sure that you like the fit and the way the strap feels on your shoulder.
For both practical and exciting golf course and general golfing improvement aids information, please visit http://www.golf-the-course.com, a popular site providing great insights concerning all kinds of relevant interests for the golf enthusiast.
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