How do you determine axis of symmetry?

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 .

What is the axis of symmetry of the graph of y x2 3x 9?

Explanation: To find the axis of symmetry of a standard quadratic equation (y=ax2+bx+c) , we use the formula x=−b2a . Since the axis of symmetry is a line, it is x=32 or 1.5 . Hope this helps!

What is the axis of symmetry of the quadratic y x 2?

In the quadratic y = x2, a = 1 and b = 0. So the axis of symmetry is at x = 0, which is the y-axis.

What is a parabola y x 2?

In the graph of y = x2, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point. Graph of y = (x + 3)2 The graph is shifted left3 units from the graph of y = x2, and the vertex is (- 3, 0).

What is axis of symmetry for Class 6?

Answer: The axis of symmetry of a figure divides the figure into two equal parts.

Is the axis of symmetry the same as vertex?

The vertex is the highest point if the parabola opens downward and the lowest point if the parabola opens upward. The axis of symmetry is the line that cuts the parabola into 2 matching halves and the vertex lies on the axis of symmetry. The vertex is the highest or lowest point on a parabola.

What is transverse axis of hyperbola?

The transverse axis is the axis of a hyperbola that passes through the two foci. The straight line joining the vertices A and A’ is called the transverse axis of the hyperbola. AA’ i.e., the line segment joining the vertices of a hyperbola is called its Transverse Axis.

How to find if the graph is symmetric to the x-axis?

Since the equation is not identical to the original equation, it is not symmetric to the x-axis. Check if the graph is symmetric about the y-axis by plugging in −x – x for x x. Simplify (−x)2 ( – x) 2. Tap for more steps… Apply the product rule to − x – x. Raise − 1 – 1 to the power of 2 2. Multiply x 2 x 2 by 1 1.

What is the Y Y value at -3x = -3?

The y y value at x = − 3 x = – 3 is − 2 – 2. Replace the variable x x with − 4 – 4 in the expression. Simplify the result. Tap for more steps…

How many types of symmetry are there?

There are three types of symmetry: 1. X-Axis Symmetry 2. Y-Axis Symmetry 3. Origin Symmetry If (x,y) ( x, y) exists on the graph, then the graph is symmetric about the: 1.

How do you find the axis of symmetry of a parabola?

The focus of a parabola can be found by adding p p to the y-coordinate k k if the parabola opens up or down. Substitute the known values of h h, p p, and k k into the formula and simplify. Find the axis of symmetry by finding the line that passes through the vertex and the focus.