Question

If you vertically stretch the square root parent function, f(x)√x, by seven units, what is the equation of the new function?

g(x)=√7x
g(x)=√(7x)
g(x)=√(x+7)
g(x)=√(x)+7

Answer 1

The equation of the new function after stretching the square root parent function by seven units is g(x) = 7√x. This transformation represents a vertical stretch and is accomplished by multiplying the original function by 7.

Step-by-step explanation:

If you vertically stretch the square root parent function f(x) = √x by seven units, the equation of the new function would be g(x) = 7√x.

This is because a vertical stretch by a factor of 'a' implies multiplying the output of the function by 'a'. In this case, 'a' is 7, so every output of the square root function is multiplied by 7.