Question

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

y = (x - 7)^2
y = (x + 7)^2
y = x^2 - 7
y = x^2 + 7

Answer 1

move c units to left means add c to every x

move 7 so add 7 to every x

y=(x+7)^2


2nd option iis answer

Answer 2

`y=(x+7)^2`

Explanation:

`y=x^2` is the parent function.

Parent function is translated 7 units to the left

f(x)---> f(x-h), where f(x) is translated h units to the right

f(x)---> f(x+h), where f(x) is translated h units to the left

When the number is added with x then the graph will be translated to the left

Parent function is translated 7 units to the left

Add 7 with x

`y=x^2`

`y=(x+7)^2`