Identify the vertex and y-intercept of the graph of the function translated 2 units left from the parent function f (x) = x².

vertex: (?,?)

y-intercept:?

Vertex is (-2, 0)

y-intercept is 4.

Step-by-step explanation:

to find the function translated 2 units left, we just need to substitute the 'x' in the equation by 'x+2':

f (x) = (x+2) ^2 = x2 + 4x + 4

Then, to find the vertex, we can use the formula:

x_v = - b / 2a

x_v = - 4 / 2 = - 2

Now, finding the y_vertex, we have:

f (x_v) = (-2) ^2 + 4 * (-2) + 4 = 0

So the vertex is (-2, 0)

To find the y-intercept, we make x = 0 and then find f (x):

f (0) = 0 + 0 + 4 = 4

So the y-intercept is 4.