PartA)What are the transformations are needed in in order to obtain the graph of G(x) from the graph of f(x) Select all that applyPartB) Graph g(x)

PartAWhat are the transformations are needed in in order to obtain the graph of Gx from the graph of fx Select all that applyPartB Graph gx class=

Respuesta :

Part A)

Recall that:

1) The function represented by the graph of the function f(x) translated vertically n units up and horizontally m units left is:

[tex]f(x+m)+n\text{.}[/tex]

2) The function represented by the graph of the function f(x) reflected over the x-axis is:

[tex]-f(x)\text{.}[/tex]

Now, notice that g(x) is the function f(x) reflected over the x-axis and then translated vertically 6 units up and horizontally 4 units left.

Answer Part A:

Options B, C, and D.

Part B) To graph g(x) we will reflect the graph of f(x) over the x-axis and then we will translate it vertically 6 units up and horizontally 4 units left.

We know that the graph of f(x)=|x| is:

The above graph reflected over the x-axis is:

Finally, the above graph translated vertically 6 units up and horizontally 4 units left is:

Answer part B:

Ver imagen RagnarN616577
Ver imagen RagnarN616577
Ver imagen RagnarN616577
Ver imagen RagnarN616577