SOLUTION: The graph of
f(x) = -1/2 (1/6)exponent is x-7
+9 is shifted left 7 units, stretched vertically by a factor of 6, reflected about the x-axis, and then shifted downward 9
Algebra.Com
Question 1153574: The graph of
f(x) = -1/2 (1/6)exponent is x-7
+9 is shifted left 7 units, stretched vertically by a factor of 6, reflected about the x-axis, and then shifted downward 9 units. What is the equation of the new function, g(x)?
g(x) =
State the y-intercept of
g(x).
(x, y) =
State the domain and range of
g(x).
(Enter your answers using interval notation.)
domain
range
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
SHIFTS OF THE PARENT FUNCTION:
For any constants , and , the function
-is stretched vertically by a factor of if
-is compressed vertically by a factor of if
-has a y-intercept of (,)
-shifts the parent function vertically units, in the same direction of the sign of
-horizontally units, in the opposite direction of the sign of
-the y-intercept becomes (,)
-the horizontal asymptote becomes
-the range becomes (,).
-the domain, ( ,), remains unchanged
in your case we have
the equation of the new function, :
- is shifted left , so we have
-stretched vertically by a factor of, so we have
-reflected about the -axis, so we have
and then shifted downward units, so we have
State the y-intercept of .
(, ) =(,)
the domain and range of :
the range becomes (,)
the domain, (,)
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