Help needed URGENT look a t question
2 answers:
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Answer:
We are given the function, f(x) = |2x+4| + 1.
Now, as we can see that this function is obtained after applying following transformation to the function g(x) = |x|.
1. Dilation i.e. shrinking the graph horizontally by 2 units
2. Translation i.e. shifting the figure in 4 units to the left and 1 unit up.
Hence, after plotting the function f(x) = |2x+4| + 1, we get the following graph.
Answer:
NONE OF THE OPTIONS GIVEN
Step-by-step explanation:
F(x) = 2|x - 3| + 1 is close, but vertical bars in stead of parentheses completely changes the curve shape
I believe it should be f(x) = 2(x - 3) + 1
if g(x) = x
here are some plots to compare the possibilities. I've shifted the vertical of each to separate the blue and green lines slightly. If they were both true "1" values the lines would be colinear for x>3.
The red line has a slope of 1, stretching by a factor of 3 means the slope is now 3. The absolute value signs from the answer options makes f(x) have a sharp V shape whereas the parentheses creates a single line for all values of x as does g(x) = x.
