Which equation has a graph that is a parabola with a vertex at (5, 3)?
Solution:
The general equation of the parabola is given by
y = a(x - h)2 + k
Where, (h,k) is the vertex
Given, vertex of a parabola is (5, 3)
So, a = 1, h = 5 and k = 3
y = 1(x - 5)2 + 3
y = (x - 5)2 + 3
Therefore, the equation of parabola is y = (x - 5)2 + 3.
Which equation has a graph that is a parabola with a vertex at (5, 3)?
Summary:
The equation of a parabola with a vertex at (5, 3) is y = (x - 5)2 + 3.