Answer:
The axis of symmetry is x = 1
The vertex of the parabola 2x² - 4x is (1, -2)
Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} - 4x[/tex]
first find the axis of symmetry
[tex] x = - \frac{b}{2a} = - \frac{ - 4}{2(2)} = - \frac{ - 4}{4} = \frac{4}{4} = 1[/tex]
Now substitute this value back into the original equation and solve for f(x) = y
[tex]y = 2 ({1}^{2} ) - 4(1) \\ y = 2 - 4 = - 2[/tex]
The vertex of the parabola is
[tex](x \: \: \: y) = (1 \: \: \: - 2)[/tex]
NOTE: separate the XY pair with a comma so
(x,y) = (1, -2)
