What is the axis of symmetry and vertex for the graph $y=x^2$ ?

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Answer 1 · 2016-05-23T20:28:58

See the explanation

Consider the standard equation of $y=ax^2+bx+c$

If $a$ is positive then the graph is of shape $uu$

If $a$ is negative then the graph is of shape $nn$

$color(blue)("In your equation "a=+1" so the graph is of shape "uu)$

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The $bx$ term moves the graph left or right from the y axis.

In your equation $b=0$ ( there is no $bx$ term)

$color(blue)("In your graph axis of symmetry is the y axis")$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The constant of $c$ is the y intercept.

In your equation $c=0$ so the y-intercept is the vertex as the axis of symmetry is the y axis

$color(blue)("In your equation the vertex "->(x,y)->(0,0))$

What is the axis of symmetry and vertex for the graph y=x^2y=x^2?