Table of Contents [hide]
- 1 What is the equation of the axis of symmetry for?
- 2 How do you describe axis of symmetry?
- 3 How do you find the equation of the vertex and axis of symmetry?
- 4 How do you draw the axis of symmetry?
- 5 How to write the equation of the axis of symmetry?
- 6 What is the equation of the axis of symmetry of the parabola?
What is the equation of the axis of symmetry for?
When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical. The graph of the parabola represented by the quadratic function y = a( x – p )2 + q has an axis of symmetry represented by the equation of the vertical line x = p.
How do you describe axis of symmetry?
Axis of Symmetry. An axis of symmetry is a line about which a figure is symmetrical. If a figure can be folded such that the two parts exactly match, the fold line is an axis of symmetry. A figure can have one line of symmetry, many lines of symmetry, or no lines of symmetry.
How do you find the equation of the vertex and axis of symmetry?
f(x)=a(x−h)2+k , where (h,k) is the Vertex of the parabola. x=h is the axis of symmetry. Use completing the square method to convert f(x) into Vertex Form.
How do you find the equation of the line of symmetry of a curve?
To find the line of symmetry algebraically, you need to identify if the equation is written in standard form or vertex form. Standard form is y = ax^2 + bx + c, where a, b, and c equal all real numbers. You can use the formula x = -b / 2a to find the line of symmetry.
How do you find the axis of symmetry of a shape?
The axis of symmetry always passes through the vertex of the parabola. Thus identification of the vertex helps us to calculate the position of the axis of symmetry. Axis of symmetry formula for a parabola is, x = -b/2a.
How do you draw the axis of symmetry?
1 Answers
- Draw a line segment AB of length 7.3 cm.
- Now, take A as centre and draw a circle by using the compass. The radius of the circle should be more that half of the length of the AB.
- With the same radius, draw another circle using compass taking B as centre.
- Now, join CD.
- So, CD is the axis of symmetry.
How to write the equation of the axis of symmetry?
Use the values of the coefficients to write the equation of axis of symmetry . The graph of a quadratic equation in the form y = a x 2 + b x + c has as its axis of symmetry the line x = − b 2 a .
What is the equation of the axis of symmetry of the parabola?
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 = a x 2 + b x + c , the axis of symmetry is a vertical line x = − b 2 a .
How to find the x-coordinate of the vertex of a graph?
The axis of symmetry passes through the vertex, and therefore the x -coordinate of the vertex is − b 2 a . Substitute x = − b 2 a in the equation to find the y -coordinate of the vertex. Substitute few more x -values in the equation to get the corresponding y -values and plot the points.
What is the axis of symmetry of Y = 2×2 + 8x – 3?
Therefore, the axis of symmetry is x = 3. Find the axis of symmetry of the graph of y = 2x 2 + 8x – 3, using the formula. Therefore, the axis of symmetry is x = -2.