The graph of absolute value function f(x) and g(x) are:
On a coordinate plane, y = g (x) opens up and goes through (6, 4), has a vertex at (7, 0) and goes through (8, 4). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).
The correct answer is an option (B)
What is an absolute value function?
"A function of the form f(t) = |t| ."
What is a graph of a function?
"It is a set of points on the coordinate plane that follows given function."
For given question,
We have been given an absolute value function f(x) = |x|
and absolute value function g(x) = |-4(x - 7)|
The graph of f(x) = |x| is like a 'V', with its vertex at (0, 0).
Y = f (x) opens up and goes through (-4, 4), has a vertex at (0, 0), and goes through (4, 4)
Consider absolute value function, h(x) = |x - 7|
A function h(x) is the function f(x) is translated horizontally 7 units right.
The graph of h(x) = |x - 7| is like a 'V', with its vertex at (7, 0).
Now consider absolute value function g(x) = |-4(x - 7)|
A function g(x) is the function h(x) is compressed inside by factor 4.
So, the graph of y = g (x) opens up and goes through (6, 4), has a vertex at (7, 0) and goes through (8, 4).
Therefore, the graph of absolute value function f(x) and g(x) are:
On a coordinate plane, y = g (x) opens up and goes through (6, 4), has a vertex at (7, 0) and goes through (8, 4). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).
The correct answer is an option (B)
Learn more about an absolute value function here:
https://brainly.com/question/10664936
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