sweetliljenny
New member
- Joined
- Nov 5, 2006
- Messages
- 29
find a formula for the quadratic function whose graph has these properties:
a. A vertex at (3,1) and a y intercept of y = 9
y = a (x-h) ^ 2
vertex (3,1) : h = 3, k = 1
y intercept of y = 9
y = a(x - 3) ^ 2 + 1
9 = a (0 - 3) ^ 2 + 1
9 = 9a + 1
minus 1 on both sides
8 = 9a
divide 9 by both sides
a = 8/9
y = 8/9 (x - 3) ^ 2 + 1
to have the formula in standard form :
(x-3)(x-3) = x^2 - 6x + 9
y = 8/9 (x^2 - 6x + 9) + 1
y = 8/9 x^2 - 16/3x + 8 + 1
y = 8/9x^2 - 16/3x + 9
is this correct?
a. A vertex at (3,1) and a y intercept of y = 9
y = a (x-h) ^ 2
vertex (3,1) : h = 3, k = 1
y intercept of y = 9
y = a(x - 3) ^ 2 + 1
9 = a (0 - 3) ^ 2 + 1
9 = 9a + 1
minus 1 on both sides
8 = 9a
divide 9 by both sides
a = 8/9
y = 8/9 (x - 3) ^ 2 + 1
to have the formula in standard form :
(x-3)(x-3) = x^2 - 6x + 9
y = 8/9 (x^2 - 6x + 9) + 1
y = 8/9 x^2 - 16/3x + 8 + 1
y = 8/9x^2 - 16/3x + 9
is this correct?