Symmetry: Finding a stationary point

Given the expression of the quadratic function

Finding the symmetry point of the function

$f(x)=2x^2$

$(0,0)$

Given the expression of the quadratic function

Finding the symmetry point of the function

$f(x)=-5x^2+10$

$(0,10)$

Given the expression of the quadratic function

Finding the symmetry point of the function

$f(x)=\frac{1}{2}x^2$

$(0,0)$

Given the expression of the quadratic function

Finding the symmetry point of the function

$f(x)=3x^2+6x$

$(-1,-3)$

Given the expression of the quadratic function

Finding the symmetry point of the function

$f(x)=3-5x^2$

$(0,3)$

Given the expression of the quadratic function

Finding the symmetry point of the function

$f(x)=3+3x^2$

$(0,3)$

Given the expression of the quadratic function

Finding the symmetry point of the function

$f(x)=-4x^2+8x+3$

$(1,7)$

Given the expression of the quadratic function

Finding the symmetry point of the function

$f(x)=5x-x^2$

$(2\frac{1}{2},6\frac{1}{4})$

Given the expression of the quadratic function

Finding the symmetry point of the function

$f(x)=-3x^2+12$

$(0,12)$

Given the expression of the quadratic function

Finding the symmetry point of the function

$f(x)=-6x^2+24x$

$(2,24)$