NAME: ____________________________________________________________ DATE: ____________________________ PERIOD: ___________
QUADRATICS – 2 WEEKS’ RECAP Examine each equation and determine the specified information. Describe the transformation as it relates to the quadratic parent function, COEFFICIENTS
y = ⅕x2
QUA D
LINEAR
CONSTAN T
⅕
0
0
DOMAIN
-∞ < x< ∞
RANGE
0 ≤ y <∞
MIN OR MAX
REWRITE EQUATION in Standard Form
Min
y = ⅕x2 + 0x + 0
f(x) = x2.
New VERTEX
(-2, 0)
Use the quad. coef. and use the given vertex to write f’(x) in
y = ⅕(x + 2)2 + 0
TRANSFORMATION: The original quadratic equation was dilated from the parent quadratic function by expanding. The vertex translated the graph to the left.
1
y = 6x 2
(-3,-4)
y = -⅔x2
(4, -6)
TRANSFORMATION:
2
TRANSFORMATION: 3
f(x) = -4x2 + 2x + 3 TRANSFORMATION:
(2, 6)
4
f(x) = -x2 + 16 TRANSFORMATION:
(6, -2)
5
f(x) = 8x2 - x + 5 TRANSFORMATION:
(3, 3)
6
y = -2x2 + 8x + 5 TRANSFORMATION:
(-1, -1)
7
y = 3x2 + 9x TRANSFORMATION:
(1, 5)
8
y = 4x2 + 16 TRANSFORMATION:
(-2, 2)
9
y = 25 - 4x2 TRANSFORMATION:
(4, -4)
10
f(x) =- x2 – 3x – 9 TRANSFORMATION:
(1/4, 0)
11
y = 9x2 - 81 TRANSFORMATION:
(0, -4/7)