Equation with axis of symmetry as x =2 is equals to \(y=x^{2} -4x+2\).
What is axis of symmetry?
" Axis of symmetry is defined as a vertical line which passes thorough the vertex of a given figure and divide it into two parts such that both are symmetrical."
Formula used
Axis of symmetry of \(ax^{2} +bx +c\) is equals to \(x= \frac{-b}{2a}\)
According to the question,
Given equations,
a. \(y=x^{2} +4x+2\)
Axis of symmetry x = \(\frac{-4}{2(1)}\)
= -2
Given option is incorrect.
b. a. \(y=x^{2}-4\)
Axis of symmetry x = \(\frac{0}{2(1)}\)
= 0
Given option is incorrect.
c. a. \(y=x^{2} -2\)
Axis of symmetry x = \(\frac{0}{2(1)}\)
= 0
Given option is incorrect.
d. \(y=x^{2} -4x+2\)
Axis of symmetry x = \(\frac{-(-4)}{2(1)}\)
= 2
Given option is correct.
Hence, equation with axis of symmetry as x =2 is equals to \(y=x^{2} -4x+2\).
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