Symmetry: Axis of symmetry

What is the axis of symmetry of the equation?

$y=(x-5)^2+15$

The first step in solving the equation you presented:

y=(x-5)²+15

is to expand the parentheses:

y=x²-10x+25+15

y=x²-10x+40

From here, we can use the formula to find the X-coordinate of the vertex:

-b/2a

Let's substitute the values from the equation:

-(-10)/2*1 =

10/2=5

The axis of symmetry of the parabola is X=5

$x=5$

Given the expression of the quadratic function

The symmetrical axis of the expression must be found.

$f(x)=7x^2$

$x=0$

A quadratic equation is graphed below.

What is the axis of symmetry for the graph $f(x)=3x^2+2$?

$x=0$

Given the expression of the quadratic function

The symmetrical axis of the expression must be found.

$f(x)=4x^2+6$

$x=0$

Given the expression of the quadratic function

The symmetrical axis of the expression must be found.

$f(x)=x^2+4x+1$

$x=-2$

Given the expression of the quadratic function

The symmetrical axis of the expression must be found.

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

$x=-2$

A quadratic function is graphed below.

What is the axis of symmetry for the graph $f(x)=x^2+4x$?

$x=-2$

Given the expression of the quadratic function

The symmetrical axis of the expression must be found.

$f(x)=-5x^2-25x$

$x=-2\frac{1}{2}$

Calculate the axis of symmetry of the quadratic function below:

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

$x=-1$

Given the expression of the quadratic function

The symmetrical axis of the expression must be found.

$f(x)=-2x^2+16$

$x=0$