Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch. f as a function of x is equal to the square root of x and g as a function of x is equal to 3 times the square root of x

Step-by-step explanation:

f(x) = rad(x)

g(x) = 3rad(x)

Substitute f(x) = rad(x) in g(x)

So g(x) = 3f(x)

So it's a vertical stretch.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2