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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Which of the following is the graph of f(x) = 3|x - 4| + 1?
Solution:
Given
The function f(x) = 3|x - 4| + 1
Absolute value of anything is always positive.
But both of the graphed functions have negative values.( the graph is below the x- axis).
Starting from the parent function,
f(x) = \(\left | x \right |\).
We have vertical dilation of scale factor 3
f(x) = 3 × \(\left | x \right |\).
A shift of 4 units to the right
f(x) = 3 × \(\left | x-4 \right |\).
A shift of 1 unit up
f(x) = 3 × \(\left | x-4 \right |\) +1
Therefore, the v shaped graph is the graph of f(x) = 3|x - 4| + 1.
Which of the following is the graph of f(x) = 3|x - 4| + 1?
Summary:
The v shaped graph is the graph of f(x) = 3|x - 4| + 1.
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