Question

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: ?

Answer 1

The vertex is ( -2,0)

y intercept ( 0,4)

Explanation:

x^2

We want to move 2 units to the left

y = a(x-h)^2+ k

Where h is the horizontal translation and k is the vertical translation)

it is also the vertex ( h,k)

-2 means move to the left

y = (x- -2)^2

y = (x+2) ^2

The vertex is ( -2,0)

To find the y intercept, let x = 0

y = ( 0+2) ^2 = 4