Lori graphed f(x) = -34x – 1 and g(x) = -4f(x) on the same coordinate grid. Which statement below incorrectly describes how the graphs of f(x) and g(x) are related?
A:The graph of f(x) is less steep than the graph of g(x)
B:The graph of f(x) is shifted 4 units up to create the graph of g(x).
C:The graph of f(x) has the same x-intercept as the graph of g(x)
D:The y-intercept of f(x) is 5 units below the y-intercept of g(x).

The statement that incorrectly describes how the graphs of f(x) and g(x) are related is B:The graph of f(x) is shifted 4 units up to create the graph of g(x).

The function f(x) is given as:

f(x) = -34x – 1

The function g(x) is given in terms of f(x) as:

g(x) = -4f(x)

Substitute f(x) = -34x - 1 into g(x)

g(x) = -4(-34x - 1)

g(x) = 136x + 4

Find the x-intercept of f(x)

Let f(x) = 0

0 = -34x - 1

x = -1/34

The x-intercept of f(x) = (-1/34, 0)

Find the x-intercept of g(x)

Let g(x) = 0

0 = 136x + 4

x = -4/136

x = -1/34

The x-intercept of g(x) = (-1/34, 0)

It is true that the graph of f(x) has the same x-intercept as the graph of g(x)

The y-intercept of f(x) is -1 and the y-intercept of g(x) = -4

It is true that the y-intercept of f(x) is 5 units below the y-intercept of g(x)

The slope with a greater absolute value is steeper.

The slope of g(x) is greater than that of f(x), therefore, the graph of g(x) is steeper.

The only incorrect statement is option B. The graph of f(x) is shifted 4 units up to create the graph of g(x)

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