Quadratic Functions In Vertex Form Worksheet - Math 2200 Unit 2 Page 18
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30Unit 2 – Quadratics
Math 2200
18
For each function indicated in the table determine:
(i)
the vertex (using graphing software
https://
)
(ii)
the equation of axis of symmetry
2
(iii) the values of ‘a’, ‘b’ and ‘c’ from the function �� = ����
+ ���� + ��
��
−
(iv)
the value of
2��
��
Function
Vertex
Equation of Axis
a
b
c
−
2
�� = ����
+ ���� + ��
2��
of Symmetry
2
�� = ��
− 4�� + 7
2
�� = −2��
− 4�� + 7
2
�� = 3��
− 6�� + 10
(a)
What do you notice about the x– coordinate of each vertex, the
��
−
?
equation of axis of symmetry and the value of
2��
(b)
Once the x– coordinate of the vertex is attained from a quadratic
function such as y = –2x
– 4x + 7, how could we algebraically attain
2
the y– coordinate?
2
Summary Attaining the vertex of a quadratic function �� = ����
+ ���� + ��
��
−
(i) Get the x– coordinate of the vertex by the formula x =
2��
2
Substitute that result into �� = ����
+ ���� + �� to attain the
(ii)
y– coordinate.
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