The answer is x>0 on apex for x value
The sign on the 'x' changes, this implies a reflection.
g(x) = -f(x) = -(x+1) = -x -1
Now apply a vertical translation 'up 5' to f(x)
g(x) = -f(x) + 5 = (-x-1) +5 = -x +4
Step-by-step explanation:
(1-tanx)/(1+tanx) = (1-sin2x)/cos2x
Replace tanx with sinx/cosx:
(1-sinx/cosx)/(1+sinx/cosx)
Multiply numerator and denominator by cosx:
(cosx-sinx)/(cosx+sinx)
Multiply numerator and denominator by cosx-sinx:
(cos^2x-2sinxcosx+sin^2x)/(cos^2x-sin^2x)
For the numerator, since sin2x = 2sinxcosx, and sin^2x + cos^2x = 1, we have 1-sin2x
For the denominator, cos^2x - sin^2x = cos2x
So (1-tanx)/(1+tanx) = (1-sin2x)/cos2x
Answer:
12y + 2y² or 2y² + 12y
Step-by-step explanation:
4(2y + 3y) becomes 8y + 12y:
y(2y - 8) becomes 2y² - 8y:
8y + 12y + 2y² - 8y = 12y + 2y² (the 8y's cancel out)
Answer: 12y + 2y² or 2y² + 12y
Hope this helps!
