Question

The graph of y = x 2 has been translated 7 units to the left. The equation of the resulting parabola is _____.

Answer 1

Assuming you meant the equation y=x^2, the translated equation would be Y=(x+7)^2

Answer 2

`y = (x+7)^2`

Explanation:

Horizontal translation:

if y =f(x) , then y = f(x+h) is horizontal translation.

The translation h moves the graph to the left when h is the positive value and to the right when h is negative.

As per the statement:

Given the graph:

`y=x^2`

It has been translated 7 units to the left

By definition:

h = 7 units > 0

then, the equation becomes;

`y = (x+7)^2`

Therefore, the equation of the resulting parabola is,
`y = (x+7)^2`