Answer:
[tex]y = (x+7)^2[/tex]
Step-by-step 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:
[tex]y=x^2[/tex]
It has been translated 7 units to the left
By definition:
h = 7 units > 0
then, the equation becomes;
[tex]y = (x+7)^2[/tex]
Therefore, the equation of the resulting parabola is, [tex]y = (x+7)^2[/tex]
