Question

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.
A. x=7
B. x=−7
C. x=9
D. x=−9

Answer 1

The line of symmetry for the parabola represented by the equation y=-2(x-7)² +11 is the vertical line that passes through its vertex, resulting in the equation x=7.

Step-by-step explanation:

The equation of the line of symmetry for a parabola is a vertical line that passes through the vertex of the parabola. In the given equation y=-2(x-7)² +11, the line of symmetry can be found by looking at the x-coordinate of the vertex. Since the vertex form of a parabola is y=a(x-h)²+k, where (h,k) is the vertex, the line of symmetry is x=h. Thus for the given equation, the line of symmetry is x=7, which corresponds to option A. x=7.