Table of Contents
- 1 How do you find the axis of symmetry for a quadratic equation?
- 2 Is axis of symmetry X or Y?
- 3 What is the axis of symmetry of the function f/x )= − x 9 )( x − 21 x − 15?
- 4 What is the y-intercept of the quadratic function f/x )=( x 6 )( x 2 )?
- 5 What does the graph of a quadratic function look like?
- 6 What is the x-coordinate of the vertex of a quadratic equation?
How do you find the axis of symmetry for a quadratic equation?
The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
Is axis of symmetry X or Y?
The line (or “axis”) of symmetry is the y-axis, also known as the line x = 0.
What is the axis of symmetry of the function f/x )= − x 9 )( x − 21?
6
The axis of symmetry of the function f(x) = -(x + 9)(x – 21) is 6.
How do you find the vertex and axis of symmetry of a quadratic function?
The Vertex Form of a quadratic function is given by: f(x)=a(x−h)2+k , where (h,k) is the Vertex of the parabola. x=h is the axis of symmetry.
What is the axis of symmetry of the function f/x )= − x 9 )( x − 21 x − 15?
Thus, the axis of symmetry for the given function is a line: x=6 .
What is the y-intercept of the quadratic function f/x )=( x 6 )( x 2 )?
(0,12)
The y-intercept of the quadratic function f(x) = (x – 6)(x – 2) is (0,12).
How to find the axis of symmetry of a quadratic function?
For a quadratic function in standard form, y = a x 2 + b x + c , the axis of symmetry is a vertical line x = − b 2 a . Example 1: Find the axis of symmetry of the parabola shown. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
What is the equation of the axis of symmetry of the parabola?
The graph of a quadratic equation in the form x = a y 2 + b y + c has as its axis of symmetry the line y = − b 2 a . So, the equation of the axis of symmetry of the given parabola is y = − 4 2 ( 1 ) or y = − 2 .
What does the graph of a quadratic function look like?
The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola.
What is the x-coordinate of the vertex of a quadratic equation?
A quadratic equation is a polynomial equation of degree 2 . where a , b and c are all real numbers and a ≠ 0 . whose graph will be a parabola . The axis of symmetry of this parabola will be the line x = − b 2 a . The axis of symmetry passes through the vertex, and therefore the x -coordinate of the vertex is − b 2 a .