Maths-
General
Easy
Question
Find the vertex, axis of symmetry and sketch the graph of the function g(x)= (x-4)2
Hint:
The vertex form of a quadratic function is
f(x) = a(x – h)2 + k
Where a, h, and k are constants. Here, h represents horizontal translation, a represents vertical translation and (h, k) is the vertex of the parabola. Also, a represents the Vertical stretch/shrink of the parabola and if a is negative, then the graph is reflected over the x-axis.
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.
The correct answer is: Hence, the vertex of the parabola is (4,0) and the axis of the symmetry is x = 4
Given, g(x) =(x-4)2
Here, h = 4, k = 0
So, the vertex of the parabola is (4,0) and the axis of the symmetry is x = 4
The graph can be plotted as
Final Answer:
Hence, the vertex of the parabola is (4,0) and the axis of the symmetry is x = 4
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