Question

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

Answer 1

The equation of the resulting parabola is:

y=(x+7)^2

Explanation:

We, know that the transformation of the type:

f(x+a) is a translation of the parent function f(x) to the left or right depending on the sign of the constant 'a'.

if:

a<0 then the translation is to the right.

and if a>0 then the translation is to the left.

It is given that the graph of the function,

let f(x)=y=x^2 is translated 7 units to the left.

This means that the equation of the resulting function will be:

y=(x+7)^2

Answer 2

y = (x +7)^2. The parabola is going into the negative region. The x value must be positive.