Please, help what is the vertex and y intercept of

Question

f(x)=(x-2)² + 2 and how to find it?

Answer 1

The equation f(x) = (x - 2)² + 2

change f(x) to y.

y = (x - 2)² + 2

Compare it to vertex form of parabola is y  = a(x - h) ² + k

where vertex of parabola is (h, k) = (2 , 2)

• To find y intercept substitute x = 0 in the equation y = (x -2)² + 2.

y = (0 -2)² + 2

y = 4 + 2

y = 6

Vertex is (2,2) and y intercept is 6.