If we want to stretch graph vertically we need to multiply function f(x) with a number greater than 1. By doing so we will for same difference of x get larger difference of F(x) which means function will be stretched.
If we want to flipp over x axis function F(x) all we need to do is to multiply it by -1. Function will change its sign thus for same values of x we will get value of F(x) with oposite sign which means function will be flipped over x axis.
Looking at offered answers we can say that A and B arent answer because we didnt multiply function with number greater than 1.
Answer is C) G(x) = -4x^2
What grade are you in I can try to help but this looks difficult can you try to explain it for me
0.5s + 1 = 7 + 4.5s Subtract 4.5s from both sides
-4s + 1 = 7 Subtract 1 from both sides
-4s = 6 Divide both sides by -4
s = -
Simplify
s = -
SimplifyingY + -9 = 4(x + -2)
Reorder the terms:-9 + Y = 4(x + -2)
Reorder the terms:-9 + Y = 4(-2 + x)-9 + Y = (-2 * 4 + x * 4)-9 + Y = (-8 + 4x)
Solving-9 + Y = -8 + 4x
Solving for variable 'Y'.
Move all terms containing Y to the left, all other terms to the right.
Add '9' to each side of the equation.-9 + 9 + Y = -8 + 9 + 4x
Combine like terms: -9 + 9 = 00 + Y = -8 + 9 + 4xY = -8 + 9 + 4x
Combine like terms: -8 + 9 = 1Y = 1 + 4x
SimplifyingY = 1 + 4x
Answer:
Standard deviation = 8.27 percent
Step-by-step explanation:
Average = (Σx)/N
The average is the sum of variables divided by the number of variables.
x = each variable
N = number of variables = 5
Let the unknown percent be y
6 = (8 - 3 + 12 + 17 + y)/5
y = 30 - 34 = - 4
The standard deviation is the square root of variance. And variance is an average of the squared deviations from the mean.
Mathematically,
Standard deviation = σ = √[Σ(x - xbar)²/N]
x = each variable
xbar = mean = 6 percent
N = number of variables
σ = √[{(8 - 6)² + (-3 - 6)² + (12 - 6)² + (17 - 6)² + (-4 - 6)²}]/(5)]
σ = √[[(2)² + (-9)² + (6)² + (11)² + (-10)²]/(5)]
σ = √[(4 + 81 + 36 + 121 + 100)/(5)] = √(342/5) = 8.27 percent.
