ANSWER
The vertex is (1,-3)
EXPLANATION
The given parabola has equation:
We group the variables to obtain:
We complete the square to get,
The vertex is of the parabola is (1,-3)
Answer:
The sine and cosine functions have several distinct characteristics: They are periodic functions with a period of 2π. ... The graph of y = sin x is symmetric about the origin, because it is an odd function. The graph of y = cos x is symmetric about the y-axis, because it is an even function.
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Answer:
a) is the answer because line,stroke,2nd stroke =a
Answer:
y=3x
Step-by-step explanation:
This problem is trying to trick you because they left off the four, but in reality this problem is pretty easy to solve.
When you jump from an x variable to the corresponding y variable, you can see that it is multiplied by three every time.
Since the x is being multiplied by three to get the y values, you'd need to place the three next to the x to show the relationship.
Answer:
f[g(2)] = 50
Step-by-step explanation:
<u>Given functions:</u>
We are asked to determine f[g(2)], which is known as a composite function. When solving composite functions, you always work inside out.
Step 1: Find the value of g(2) by substituting 2 for x in function g(x).
Step 2: Substitute the found value into the composite function.
![\\\implies f[g(2)]= 2(4+1)^2](https://tex.z-dn.net/?f=%5C%5C%5Cimplies%20f%5Bg%282%29%5D%3D%202%284%2B1%29%5E2)
![\implies f[g(2)] = 2(5)^2 \Rightarrow 2(25) \Rightarrow \boxed{50}](https://tex.z-dn.net/?f=%5Cimplies%20f%5Bg%282%29%5D%20%3D%202%285%29%5E2%20%5CRightarrow%202%2825%29%20%5CRightarrow%20%5Cboxed%7B50%7D)
Hence, the value of the composite function f[g(2)] is 50.
Learn more about composite functions here:
brainly.com/question/28062427
brainly.com/question/26215408
