The equation of the parabola that similar to f(x) = 
but the vertex is (3, 5) in the standard form is y = 
+ 5
The equation of the parabola
f(x) =
The standard vertex form of a parabola is
y = 
+ k
The coordinates of the vertex of a parabola = (3, 5)
Where (h, k) is the coordinates
From the given function of the parabola f(x) =
The value of a = 7
Substitute the values in the vertex form of a parabola
y = + 5
Hence, the equation of the parabola that is similar to f(x) = but the vertex is (3, 5) in the standard form is y = + 5
Learn more about vertex form here
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Here it is hope this helps as like a visual I'm not good at explaining these without dragging it out and possibly over explaining if you need more of an elaboration feel free to ask
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