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)?

Mathematics

2 answers:

tamaranim1 [39]2 years ago

8 0

It's B I believe I just took the same test for summer school and put B

jenyasd209 [6]2 years ago

3 0

In the case of exponential functions, the graph is shifted when a constant is added to the exponent of the constant. The original equation, f(x) is:
f(x) = (1/2)ˣ
Now, when horizontal shifting is occurring, the equation is:
y = Cˣ⁺ᵃ
If a is positive, the graph shifts to the lefts and the shift is equal to a units. If a is negative, the graph shifts to the right and the shift is equal to a units. Therefore, to shift the graph 3 units to the left:

g(x) = (1/2)⁽ˣ⁺³⁾
The correct answer is B.

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The value pie/2 is a solution for the equation 2sin^2x-sinx-1=0 true or false

Rasek [7]

Answer:

Yes, $\frac{\pi }{2}$ is a solution

Step-by-step explanation:

Recall that $sin(\frac{\pi }{2})=1$ . By replacing $\frac{\pi }{2}$ in the given trigonometric equation, we get 0 (zero) as a result, so this value is a solution: