What is the equation of the line of symmetry for the parabola represented by the equation y=−2(x−7)^2+11?
Enter your answer as the correct equation, like this: x = 42
NO LINKS

Respuesta :

Answer:

x = 7

Step-by-step explanation:

The line of symmetry is a vertical line passing through the vertex of the parabola with equation

x = c ( c is the value of the x- coordinate of the vertex )

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

y = - 2(x - 7)² + 11 ← is in vertex form

with (h, k ) = (7, 11 ) with h = 7

Equation of axis of symmetry is then x = 7