Answer :
The vertex form of the equation is:
y = 5(x^2 + 14/5)
To convert this to the vertex form, which is y = a(x - h)^2 + k, we need to complete the square:
y = 5(x^2 + 14/5)
y = 5(x^2 + 14/5 + 49/25) - 49/5
y = 5(x + 7/5)^2 - 49/5
So, the vertex form of the equation is:
y = 5(x + 7/5)^2 - 49/5
Here, the vertex is at (-7/5, -49/5).
y = 5(x^2 + 14/5)
To convert this to the vertex form, which is y = a(x - h)^2 + k, we need to complete the square:
y = 5(x^2 + 14/5)
y = 5(x^2 + 14/5 + 49/25) - 49/5
y = 5(x + 7/5)^2 - 49/5
So, the vertex form of the equation is:
y = 5(x + 7/5)^2 - 49/5
Here, the vertex is at (-7/5, -49/5).
