Simplify the expression. Justify that the expressions are equivalent using x = 2. –4(5x + 2) – 6(x – 3) What is the simplified e
2 answers:
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Answer:
Step-by-step explanation:
Slope is negative reciprocal when two lines are perpendicular
m1=1/2 therefore m2=-2
The equation of the line in point-slope form is given as
Here m=-2 and (x1, y1)=(-3, -1)
Therefore,
Given:
The two functions are:
To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
- If a>0, then the graph shifts a units left.
- If a<0, then the graph shifts a units right.
- If b>0, then the graph shifts b units up.
- If b<0, then the graph shifts b units down.
We have,
The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get
Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).