Respuesta :
I couldn't exactly find the answer, but I did find some things that might be helpful to you.
g(x)=(15x)2: This is graph A, it has no vertex
f(x)=x2: This is graph B, its vertex is (0,0)
I don't think any of these are the answers, but I'm hoping that these items will help you out a little. Sorry I couldn't answer the question fully.
EDIT:
On the off chance that you meant, "[tex]g(x) = (15x) ^{2} [/tex]," (Graph C) you'll find this:
Vertex: (0,0)
Focus: (0,[tex] \frac{1}{900} [/tex])
Axis of symmetry: 0
Directrix: [tex]y = - \frac{1}{900} [/tex]
g(x)=(15x)2: This is graph A, it has no vertex
f(x)=x2: This is graph B, its vertex is (0,0)
I don't think any of these are the answers, but I'm hoping that these items will help you out a little. Sorry I couldn't answer the question fully.
EDIT:
On the off chance that you meant, "[tex]g(x) = (15x) ^{2} [/tex]," (Graph C) you'll find this:
Vertex: (0,0)
Focus: (0,[tex] \frac{1}{900} [/tex])
Axis of symmetry: 0
Directrix: [tex]y = - \frac{1}{900} [/tex]



Answer:
The graph of g(x) is shown below.
Step-by-step explanation:
The vertex form of a parabola is
[tex]h(x)=a(x-h)^2+k[/tex]
where, (h,k) is the the vertex of the parabola.
The given functions are
[tex]f(x)=x^2[/tex]
[tex]g(x)=(15x)^2[/tex]
It both function the value of h and k is 0, therefore the vertex of both function is (0,0).
x f(x) g(x)
-2 4 900
-1 1 225
0 0 0
1 1 225
0 4 900
The graph of both functions is shown below.
