axis of symmetry equation

Find the equation of the axis of symmetry, the coordinates of the vertex, and the x - and y - intercepts for the function y = - x 2 + 6 x . => x = 3; (3, 18); x - intercept = 0 or 6; y - intercept = 0 or x = 3; (3, 9); x - intercept = 0 or 6; y - intercept = 0 or x = -..

Determine if the parabola opens up or down. Then, find the equation of the axis of symmetry and the coordinates of the vertex for the function y = 3 x 2 - 1 / 2 . => opens down; x = - 1 / 2 ; (0, - 3 / 4 ) or opens up; x = 0; (0, - 1 / 2 ) or opens up; ..

a) Symmetry about x - axis If the equation of the curve remains unaltered when y is replaced by -y, then the curve is symmetrical about x-axis. b) Symmetry about y-axis If the equation of the curve remains unaltered when x is re..

Draw the graph of the given equation. Mark the maximum or minimum point and the axis of symmetry: y = x 2 + 4 x - 1 => Graph 1 or Graph 4 or Graph 2 or Graph 3..

Draw the graph of the given equation. Mark the maximum or minimum point and the axis of symmetry: y = - 4 x 2 - 16 x - 7 => Graph 3 or Graph 2 or Graph 4 or Graph 1..

Find the equation of the axis of symmetry, the coordinates of the vertex, and the x - and y - intercepts for the function y = 1 4 x 2 - 7 4 x + 3 . => x = ( -1 / 16 ); x - intercept = - 4 or 3; y - intercept = 12 or x = 7 2 ; ( 7 2 , - 1 1 6 ); x - intercept = 4 or..

What is the axis of symmetry of a parabola? => y -axis or its focal axis or its directrix or x -axis..

It is a type of symmetry seen in animals having a cylindrical body shape. The body parts are arranged around an imaginary axis. Such an animal can be cut into two equal halves by any plane passing through the axis. The axis in such animals is described as or..

It is a type of symmetry seen in animals that have the shape of a sphere, with the body parts arranged concentrically around a central point. A sphere has an infinite number of planes of symmetry that can pass through the centre to divide it into similar halves. In the strict s..

If in the polar equation, (r, θ) can be substituted by (r, - θ) or (- r, π - θ) , then graph is symmetric with respect to polar axis. If polar equation, (r, θ) is substituted by (- r, θ) or (r, π + θ) , the graph is symme..