Answer:
D
Step-by-step explanation:
the axis of symmetry is also the x value for the vertex.
The vertex in the graph is (2, -3) so the x = 2.
The equation of the vertical line will be x = 2. Then the correct option is D.
If a line intersect the shape and the shape look identical on both sides of line, then the line is known as axis of symmetry.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
From the graph, the vertex of the parabola is at (2, -3).
Then the equation of the parabola will be
y = a(x – 2)² – 3
The parabola is passing through (1, 0) and (3, 0), then the leading coefficient will be
0 = a(1 – 2)² – 3
a = 3
Then the equation of the parabola will be
y = (3/4)(x – 2)² – 3
The parabola is symmetric about the vertical line.
Then for the vertical line, the value of (x – 2) will be zero.
Then the equation of the vertical line will be
x – 2 = 0
x = 2
Thus, the equation of the vertical line will be x = 2.
Then the correct option is D.
More about the axes of symmetry link is given below.
https://brainly.com/question/4348533
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