Answer:
Y-intercept at (0,100).
Axis of symmetry is x = 3.
Vertex is (3,25) and
X-intercept is absent.
Explanation:
See the given diagram.
The graph is of a parabola with the axis parallel to the positive y-axis.
The approximate position of the vertex is (3,25).
Therefore, the equation of the parabola is given by
(x - 3)² = 4a(y - 25)........... (1)
Now, (6,100) point satisfies the parabola.
Therefore, from equation (1), we get
(6 - 3)² = 4a(100 - 25)
⇒ 9 = 4a(75)
⇒ a = 0.03
Hence, the equation of the parabola is (x - 3)² = 0.12(y - 25) ......... (2)
Now, y-intercept is at x = 0.
Hence, 0.12(y - 25) = 9
⇒ y - 25 = 75
⇒ y = 100 (Appx.)
Now, x = 3 line is the axis of symmetry.
Vertex is at (3,25)
The x-intercept is absent. (Answer)