Ineed the solution, vertex and y-intercept

Step-by-step explanation:

We can read this information directly from the graph.

The y-intercept is a point on the vertical axis where the graph crosses it:  (0, 6).

The vertex in this case is the minimum point:  (3, -4).

The solutions (there are two) are the x-intercepts:  (1, 0) and (5, 0)

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1