How can the graph of g(x)=3square root x+3 be obtained from the graph of g(x)= 3 square root x?
A. shift the graph 3 units right
b. shift the graph 3 units up
c. shift the graph 3 units down
d. shift the graph 3 units left
I am having problems with the square roots. Can someone please help!!
To understand how the graph of g(x) = 3√x + 3 is obtained from the graph of g(x) = 3√x, let's first understand the behavior of the square root function.
The square root function, √x, takes a positive number x and returns the positive number whose square is x. The graph of the square root function starts at the origin (0, 0) and increases as x increases.
Now, let's analyze the given function g(x) = 3√x. This function is obtained from the square root function by multiplying the output values by 3. This means that for every x, we take its square root and then multiply it by 3 to get g(x).
To obtain the graph of g(x) = 3√x + 3 from the graph of g(x) = 3√x, we need to shift the graph of g(x) = 3√x three units upwards. This means that every point on the original graph with y-coordinate y is shifted upwards by three units to a new point with y-coordinate y + 3.
Therefore, the correct answer is:
b. shift the graph 3 units up