One way to find the vertex of a parabola is to use the formula: x = -b / (2a).
An explanation why this works can be found at: http://hotmath.com/hotmath_help/topics/vertex-of-a-parabola.html
For the equation: y = 2x2 + 4x + 7
a = 2, b = 4, and c = 7 ---> x-value = -b / (2a) = -4/(2·2) = -4/4 = -1
To find the y-value, place this value for x back into the equation: y = 2(-1)2 + 4(-1) + 7 = 5
So the vertex is (-1, 5)
One way to find the vertex of a parabola is to use the formula: x = -b / (2a).
An explanation why this works can be found at: http://hotmath.com/hotmath_help/topics/vertex-of-a-parabola.html
For the equation: y = 2x2 + 4x + 7
a = 2, b = 4, and c = 7 ---> x-value = -b / (2a) = -4/(2·2) = -4/4 = -1
To find the y-value, place this value for x back into the equation: y = 2(-1)2 + 4(-1) + 7 = 5
So the vertex is (-1, 5)