MATH SOLVE

4 months ago

Q:
# Describe how to transform the graph of f into the graph of g.f as a function of x is equal to the square root of x and g as a function of x is equal to the square root of negative xA- Reflect the graph of f across the y-axis.B- The graph shifts up one unit.C- Reflect the graph of f across the y-axis and then reflect across the x-axis.D- Reflect the graph of f across the x-axis.

Accepted Solution

A:

The answer would be: A- Reflect the graph of f across the y-axis.

In this question, the function would be:

f(x)= [tex] \sqrt{x} [/tex]

g(x)= [tex] \sqrt{-x} [/tex]

The difference between the two functions would be the g(x) have a minus sign inside the root. We can conclude that the transformation causing the x--->-x'.

When you reflect a function on y-axis, the value of x would be -x. That means a point that was (1, 1) would become (-1, 1). The changes would look like this

x=-x'

f(x)= [tex] \sqrt{x} [/tex]

f(x)= [tex] \sqrt{-x'} [/tex]

In this question, the function would be:

f(x)= [tex] \sqrt{x} [/tex]

g(x)= [tex] \sqrt{-x} [/tex]

The difference between the two functions would be the g(x) have a minus sign inside the root. We can conclude that the transformation causing the x--->-x'.

When you reflect a function on y-axis, the value of x would be -x. That means a point that was (1, 1) would become (-1, 1). The changes would look like this

x=-x'

f(x)= [tex] \sqrt{x} [/tex]

f(x)= [tex] \sqrt{-x'} [/tex]