Quadratic Functions
What is the vertex of
y = x^2 + 2x + 3
(-1, 2)
x 2 − 7x − 18
(x − 9)(x + 2)
y = 6x − 11 −2x
− 3y = −7
(2, 1)
4y - 8 - 2y + 5 = 0
y = 3/2
| 2d | | - 14 = 3 |
d = { 8.50, -8.50 }
What is the axis of symmetry of
y = -x^2 + 2x + 1?
x=1
p 2 − 5 p − 14
( p + 2)( p − 7)
2x − 3y = −1
y = x − 1
(4, 3)
Solve for x
x/a - 5 = b
x = a(b + 5)
2| | b + 7 | | = 10
b = { -2.00, -12.00 }
What is the maximum or minimum value of
y= -x^2 +2x +5
Maximum; 6
2b^2+17b+21
(2b+3)(b+7)
−4x − 2y = −12
-4x - 8y = 24
(6, -6)
7(a +1) - 3a = 5 + 4(2a - 1 )
a = 3/2
| | y + 5 | | = 22
y = { 17, -27 }
What is the vertex?
y = -3(x - 5)^2 +3
(5, 3)
7x 2 − 45x − 28
(7x + 4)(x − 7)
−x − 7y = 14
−4x − 14y = 28
(0, 2)
(m - 2) - 5 = 8 - 2(m - 4)
m = 23/3
| 9n | | - 15 = 13
n = { 3.11, -3.11 }
Write in vertex form
y = x^2 +2x +5
y = (x + 1)^2 +4
14x^2 + 7x - 21
7(2x + 3)(x -1)
11 - 5y = 2x
5y + 3 = -9x
(-2, 3)
12 - 3(2w +1) = 7w - 3(7 + w)
w = 3
| | -6x | | = 11
x = { 1.83, -1.83 }