The graph of g(x) is the result of translating the graph of f(x) = three units to the left. What is the equation of g(x)?
2 answers:
Answer: The equation for g(x) is f(x+3).
Step-by-step explanation: Given that the graph of g(x) is the result of translating the graph of f(x) after translating three units to the left.
We are to find the equation of g(x).
We know that
if a function f(x) is translated a units to the left, then the new function g(x) is written as
Here, a = 3 units, so the required equation for g(x) will be
Thus, the equation for g(x) is f(x+3).
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to find the point, find the location
realize that the shortest line that crosses through the origin and y=9x+8 is perpendicular to y=9x+8
perpendicular lines have slopes that multiply to get -1
y=9x+8 has a slope of 9
9*m=-1, m=-1/9
the slope of the mystery line is -1/9
since it passes through the origin, the y intercept is 0
y=(-1/9)x is the equation of the line from the point to the origin
find the intersection of this line and the original line
set them equal to each other
(-1/9)x=9x+8
multily both sides by 9
-x=81x+72
minus 81 both sides
-82x=72
divide both sides by -82
x=-36/41
find y
y=(-1/9)x
y=(-1/9)(-36/41)
y=4/41
the point is
The answer is quadratic, I took the test.
