The function is f(x) = 9,000(0.95)x<span>
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The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3)
If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)
Answer:
35w^3 + 44w
<em><u>Combine Like Terms:</u></em>
= 35w + 9w + 35w^3 + 25w^3 - 25w^3
= (35w^3 + 25w^3 - 25w^3) +(35w + 9w)
= 35w^3 + 44w
Hope this is right ♡
By observing the graph we can see that G(x) is obtained by shifting F(x) 2 units to the right.
A horizontal shift is indicated by addition/subtraction to x rather than the function.
A right shift is indicated by subtracting the number from x. So a right shift of F(x) will be indicated by F(x-2)
Thus,
G(x) = F(x-2)
G(x) = (x-2)²
So, the answer to this question is option B
