Sketch the graph of the quacratic function and the axis

Charles Kingsley

Charles Kingsley

Answered question

2021-12-11

Sketch the graph of the quacratic function and the axis of symmetry. State the vertex, and give the equation for the axis of symmetry.
g(x)=2x2

Answer & Explanation

Maria Lopez

Maria Lopez

Beginner2021-12-12Added 32 answers

Step 1
Given: g(x)=2x2
To find: Vertex and the equation of axis of symmetry of g(x)=2x2 with graph
Step 2
The given quadratic equation is g(x)=2x2.
Here, a=2 and b=0
(b2a,g(b2a))=(02×2,g(02×2))
(b2a,g(b2a))=(0,g(0))
(b2a,g(b2a))=(0,2(0)2)
(b2a,g(b2a))=(0,0)
The vertex of the quadratic equation is given by (b2a,g(b2a))
Therefore, the vertex of the quadratic equation is (0,0)
The axis of symmetry of the quadratic equation is x=b2a=0
Therefore, the axis of symmetry of the quadratic equation is x=0.
The graph representing the axis of symmetry and the vertex of the given quadratic equation g(x)=2x2 is given below

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