Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the following function.
yequalsnegative 2 x squared plus 7 x minus 3
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Part 1
The axis of symmetry is xequals
enter your response here. (Simplify your answer.)
x = -b/(2a)
x = -7/(2*(-2))
x = -7/-4
x = 7/4
Therefore, the axis of symmetry is x = 7/4.
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the following function.
yequalsnegative 2 x squared plus 7 x minus 3
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Part 1
The axis of symmetry is xequals
seven fourths
. (Simplify your answer.)
Part 2
The vertex is
enter your response here.
(Type an ordered pair. Simplify your answer.)
Part 2:
To find the y-coordinate of the vertex, substitute the x-coordinate of the axis of symmetry into the equation:
y = -2(7/4)^2 + 7 * (7/4) - 3
y = -2(49/16) + 49/4 - 3
y = -98/16 + 49/4 - 3
y = -98/16 + 196/16 - 48/16
y = 50/16
y = 25/8
Therefore, the vertex is (7/4, 25/8)