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Answer:

The axis of symmetry is x = 1

The vertex of the parabola 2x² - 4x is (1, -2)

Explanation:


f(x) = 2 {x}^(2) - 4x

first find the axis of symmetry


x = - (b)/(2a) = - ( - 4)/(2(2)) = - ( - 4)/(4) = (4)/(4) = 1

Now substitute this value back into the original equation and solve for f(x) = y


y = 2 ({1}^(2) ) - 4(1) \\ y = 2 - 4 = - 2

The vertex of the parabola is


(x \: \: \: y) = (1 \: \: \: - 2)

NOTE: separate the XY pair with a comma so

(x,y) = (1, -2)

Help with this question-example-1
User Le Zhang
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