Answer:
y= x^2 - 4x + 2
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Hope it helps.
Equation with axis of symmetry as x =2 is equals to [tex]y=x^{2} -4x+2[/tex].
" 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 [tex]ax^{2} +bx +c[/tex] is equals to [tex]x= \frac{-b}{2a}[/tex]
According to the question,
Given equations,
a. [tex]y=x^{2} +4x+2[/tex]
Axis of symmetry x = [tex]\frac{-4}{2(1)}[/tex]
= -2
Given option is incorrect.
b. a. [tex]y=x^{2}-4[/tex]
Axis of symmetry x = [tex]\frac{0}{2(1)}[/tex]
= 0
Given option is incorrect.
c. a. [tex]y=x^{2} -2[/tex]
Axis of symmetry x = [tex]\frac{0}{2(1)}[/tex]
= 0
Given option is incorrect.
d. [tex]y=x^{2} -4x+2[/tex]
Axis of symmetry x = [tex]\frac{-(-4)}{2(1)}[/tex]
= 2
Given option is correct.
Hence, equation with axis of symmetry as x =2 is equals to [tex]y=x^{2} -4x+2[/tex].
Learn more about axis of symmetry here
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