The axis of symmetry in a parabola is the axis that passes through its vertex in such a way that if we folded the right side over the left side, both sides would appear joined.
Let's see it in an illustration:
To find the axis of symmetry, we must locate the value of of the vertex of the parabola or do it through the parabola's vertex formula or with the help of two symmetric points on the parabola.
Given the expression of the quadratic function
Finding the symmetry point of the function
\( f(x)=2x^2 \)
Given the function
Let's plug it into the formula and we will get:
From this it follows that, the axis of symmetry is
Given the points ,
Let's plug them into the formula and we will get:
The axis of symmetry is
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Rotational Symmetry in Parallelograms
In the Tutorela blog, you will find a variety of articles on mathematics.
What is the axis of symmetry of the equation?
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
Given the expression of the quadratic function
Finding the symmetry point of the function
Given the expression of the quadratic function
Finding the symmetry point of the function
Given the expression of the quadratic function
Finding the symmetry point of the function
Given the expression of the quadratic function
The symmetrical axis of the expression must be found.
Given the expression of the quadratic function
Finding the symmetry point of the function
\( f(x)=-5x^2+10 \)
Given the expression of the quadratic function
Finding the symmetry point of the function
\( f(x)=\frac{1}{2}x^2 \)
Given the expression of the quadratic function
The symmetrical axis of the expression must be found.
\( f(x)=-3x^2+3 \)
