Quadratic Exploration Worksheet With Answer Key Page 7
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12ID: B
Quadratic Exploration Quiz
Answer Section
MULTIPLE CHOICE
1. ANS: C
PTS: 2
REF: 080813ia
STA: A.G.10
TOP: Identifying the Vertex of a Quadratic Given Graph
2. ANS: B
b
2
For a quadratic function y = ax
+ bx + c , the axis of symmetry is the vertical line x = −
.
2a
2
y = − 3 x
+ 6 x − 4
a = − 3 , b = 6
Find the values of a and b.
b
6
x = −
= 1
= −
Substitute the values into the formula.
2a
2(−3)
Feedback
Use the formula x = -b/2a to find the axis of symmetry.
A
Correct!
B
Use the formula x = -b/2a to find the axis of symmetry.
C
The axis of symmetry of a parabola is a vertical line. All the points it contains have the
D
same x-value, so the variable in the equation should be x and not y.
PTS: 1
DIF: Average
REF: Page 601
OBJ: 9-2.3 Finding the Axis of Symmetry by Using the Formula
NAT: 12.5.1.e
STA: A.A.41
TOP: 9-2 Characteristics of Quadratic Functions
3. ANS: D
2
Check that the function is in standard form.
y = −3x
+ 2x + 2
a = −3
Identify the value of a.
Since a < 0 , the parabola opens downward.
Feedback
If a > 0, the parabola opens upward. If a < 0, the parabola opens downward.
A
To determine the direction the parabola opens, find the value of a in the standard form
B
of the equation.
If a > 0, the parabola opens upward. If a < 0, the parabola opens downward.
C
Correct!
D
PTS: 1
DIF: Average
REF: Page 592
OBJ: 9-1.3 Identifying the Direction of a Parabola
NAT: 12.5.1.e
STA: 8.G.21
TOP: 9-1 Identifying Quadratic Functions
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