Parabolas And Quadratic Worksheet Page 2
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1
2Lesson 5-3: Translating Parabolas
--Using Vertex Form to graph and write equations
V
F
Q
F
: y = a(x – h)
+ k
2
ERTEX
ORM OF
UADRATIC
UNCTION
V: (-1, 4)
Vertex: (h, k)
Axis of Symmetry: x = h
Pts: (0, 1);(1, -8)
y = -3(x+1)
+ 4
2
Graph:
W
E
QUATIONS : Given vertex and one point
RITING
Vertex: (-2, 5) Point: (3, 4)
Example:
1
Y = -
2
(�� + 2)
+5
25
I
-
:
DENTIFY VERTEX AND Y
INTERCEPT FOR EACH FUNCTION
Example (standard form)
Example (vertex form)
Y = -3x
+ 6x – 1
y = (x – 2)
+ 3
2
2
V: (2, 3)
V: (1, 2)
Y-int: (0, 7)
Y-int: (0, -1)
S
F
/V
F
:
TANDARD
ORM
ERTEX
ORM
Convert the function to standard form:
Convert the function to vertex form:
y = 2(x – 3)
+ 4
y = 2x
– 4x + 3
2
2
Y = 2x
+ 6x + 4
Y = 2(x – 1)
+ 1
2
2
Lesson 5-5: Solving Quadratic Equations
--by factoring, graphing, and square roots
T
:
1) x
= 16x – 48
2) 9x
– 16 = 0
2
2
O SOLVE QUADRATIC EQUATIONS BY FACTORING
1) Write equations in standard form (set = to zero)
x = 12, x = 4
4
2) Factor
x = ±
3) Apply zero product property and set each variable factor to zero.
3
4) Solve the equations
T
:
O SOLVE BY FINDING SQUARE ROOTS
1) Isolate squared term on one side of equation
±
2) Take the square root of each side. *don’t forget
3)
x
– 5x + 2 = 0
2
T
G
:
O SOLVE BY
RAPHING
1) Graph the related function y = ax
+ bx + c
2
2) Find ZEROS (x-intercepts):
2
/CALC/Zero
nd
Left bound, Right bound, Guess
M. M
URRAY
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