If you horizontally stretch the quadratic parent function f(x) = x^2 by a factor of 4 what’s the equation of the new function
1 answer:
Answer:
g(x) = ¹/₁₆x²
Step-by-step explanation:
The parent function is ƒ(x) = x².
Then g(x) = (ax)² is either a compression or a stretch of the parent function .
0 < |a| < 1 is a stretch by a factor of 1/a.
Thus, if you want to stretch a parabola by a factor of 4 ,
a = ¼
and the equation of the new function is
g(x) = (¼x)² or
g(x) = ¹/₁₆x²
The diagram below shows that
ƒ(x) = 1 when x = 1 but
g(x) = 1 when x =4
The parabola has been stretched by a factor of 4.
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Answer:
58.0 units
Step-by-step explanation:
In order to use the law of sines, we need to know angle C. It will be the angle that brings the total of all angles to 180°.
C = 180° -A -B = 180° -72° -16°
C = 92°
The law of sines tells us ...
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) = 61·sin(72°)/sin(92°)
a ≈ 58.0 . . . . units
Answer:15.5
Step-by-step explanation:you can use the sin rule so set up x(height)/sin54.1 = 19.1/sin90 then times 19.1/sin90 by sin 54.1 to get 15.5
