Question

ILL GIVE YOU 40 POINTS IF YOU HELP ME!!!

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 shifted 4 units up to create the graph of g(x).
B-The graph of f(x) is less steep than 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).

Answer 1

Option A) is incorrect.

Explanation:

It is given that,

`f(x) = -34x-1` and
`g(x) = -4(f(x))`

Thus,
`g(x) = -4(f(x)) = -4(-34x-1) = 136x + 4`

The y intercept is found by inserting x=0 in equation.

Thus y intercept of f(x) is -1 and of g(x) is 4.

The difference between y intercepts is (4-(-1)) =5. Option D is correct.

The x intercept is found by inserting y=0, in both cases we get x =
`(-1)/(34)`. Thus, Option C is correct.

The slope of f(x) is -34 and of g(x) is 136, Thus comparing the magnitudes , more is the slope magnitude, more steeper is the slope. Thus graph of f(x) is less steep than the graph of g(x). Thus, Option B is correct

The graph of g(x) is created by shifting f(x) 5 units up and changing the slope. Thus, Option A is incorrect.