Answer:
g(x) = (x+2)^2 - 2x - 1
Step-by-step explanation:
f(x) = x^2 - 2x
g(x) = f(x+2) + 3
g(x) = (x+2)^2 -2(x+2) + 3 = (x+2)^2 - 2x - 1
When we graph the equations, we can confirm that our answer is correct.
Answer:
C
Step-by-step explanation:
≤= black line w/ shading below the line
>= dotted line w/ shading above the line
2x+1= cross y-axis at +1 with a slope of two (for each unit to the right, move two units up)
-2x-3= cross y-axis at -3 with a slope of negative two (for each unit right, move two units down)
C shows where the two inequalities overlap.
(B) 8 less than the product of 3 and n
Here, we are given an equation 3n - 8
Let us consider each of the options one by one
(A) the product of 3, n and 8 will be written as 24n. Hence this isn't the correct answer.
(B) 8 less than the product of 3 and n will be written as 3n - 8. This matches our equation and hence is the correct answer.
(C) n minus 8 times 3 will be written as 24 - n. Hence, this is also incorrect.
(D) 3 times n less than 8 will be written as 8 - 3n. Thus, this is also eliminated.
Therefore, option B is the correct answer.
Learn more about expressing equations here-
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For the equation
4x^2=2^x, the values are -.43 and .61