The equation is .
Find axis of symmetry:
\Formula for the equation of the axis of symmetry: .
(Substitute
)
(Multiply:
)
(Cancel common signs)
(Cancel common terms)
The equation for the axis of symmetry is .
Find vertex:
\Use the value you found for the axis of symmetry as the x - coordinate of the vertex.
\To find the y-coordinate, substitute that value for x in the original equation.
\ (Substitute
)
(Evaluate powers:
)
(Apply multiplicitive identity property:
)
(Add:
)
The vertex is at (1,2).
Find y-intercept:
\The graph is observed that,
\The y-intercept is the point where the graph intersects the y-axis. It is located at (0,1), so the y-intercept is 1.
The equation of the vertex is (1,2), the axis of symmetry is x = 1 and y-intercept is 1.