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TEST 1 Parabola
Contributed by: Purnawasi
(Original author: Grigsby)
Identify the VERTEX.        (      ,      )
Identify the AXIS OF SYMMETRY.
                                     x = 
Identify the y-intercept.        (0,      )
Identify the x-intercept(s).
 0 and 8
0 and 4
2
none
Identify the DOMAIN.
y ≥ 4
x ≥ 2
-1 ≤ x ≤ 5
all real numbers
Identify the RANGE.
y ≥ 4
x ≥ 2
4 ≤ y ≤ 10
all real numbers
Describe the TRANSFORMATION from f(x) = x2 to h(x) = -2x2
AND the parabola has a
vertical shrink 
vertical stretch
translates down 2
translates left 2
The parabola opens                (up/down)
Describe the TRANSFORMATION from f(x) = x2 to p(x) = 4x2 + 1
AND the parabola has a
vertical shrink and translates right 1
vertical stretch and translates right 1
vertical shrink and translates up 1
vertical stretch and translates up 1
The parabola opens                (up/down)
Describe the TRANSFORMATION from f(x) = x2 to r(x) = 2(x-10)2 
AND the parabola has a
vertical shrink and translates right 10
vertical stretch and translates right 10
vertical shrink and translates left 10
vertical stretch and translates left 10
The parabola opens                (up/down)
Describe the TRANSFORMATION from f(x) = x2 to m(x) = -⅓x2 - 4
AND the parabola has a
vertical shrink and translates down 4
vertical stretch and translates right 4
vertical shrink and translates left 4
vertical stretch and translates down 4
The parabola opens                (up/down)
The parabola opens              (up/down)
It dilated and now it is                         (narrow/wide)
Describe the graph.
(did you type it in y= to see what it looked like???)
The vertex is (      ,      )
h(x) = -⅓x2
The parabola opens              (up/down)
It dilated and now it is                         (narrow/wide)
Describe the graph.
(did you type it in y= to see what it looked like???)
The vertex is (      ,      )
h(x) = 2(x+3)2-5
Find the ZEROS.
f(x) = 3x2 - 6x - 45                           and  -
k(x) = 2(x - 1)(x + 7)                         and  -
j(x) = (x - 9)(x + 5)                           and  -
g(x) = x2 - 16                                   and  -
(type it in y= and look at graph or table!!!)
y = 2(x - 5)2 + 1
f(x) = -½(x - 3)2
Find the VERTEX of the graph of the function.
(did you type it in y= to see the graph???)
(      ,       )
(      ,       )
y = 2x2 -8x + 3
f(x) =  x2 - 2x - 8
Find the AXIS of SYMMETRY of the function.
(did you type it in y= to see the graph???)
x = 
x = 
MATCH the graph to the equation.
D
?
A
?
F
?
C
?
B
?
E
?
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