Answer:
A
Step-by-step explanation:
Given the parent function y = x², then
y = (x + a) represents a horizontal translation
• If a > 0 , then shift to the left of a units
• If a < 0, then shift to the right of a units
Thus a shift of 3 units left ⇒ y = (x + 3)²
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A vertical stretch of a units, stretches away from the x- axis
A vertical compression of a units, compresses towards the x- axis
• | a | > 1 is a stretch
• 0 < | a | < 1 is a compression
Thus a vertical stretch of 4 ⇒ y = 4(x + 3)²
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A reflection in the x- axis, negates the y- coordinate
y = - 4(x + 3)² → A
Answer:
5 terms
to the fourth degree
leading coeff of 1
3 turning points
end behavior (when x -> inf, y -> inf. When x -> - inf, y -> -inf)
x intercepts are (0,-4) (0,-2) (0,1) (0,3)
Relative min: (-3.193, -25) (2.193, 25)
Relative max: (-0.5, 27.563)
Step-by-step explanation:
The terms can be counted, seperated by the + and - in the equation given.
The highest exponent is your degree.
The number before the highest term is your leading coeff, if there is no number it is 1.
The turning points are where the graph goes from falling to increasing or vice versa.
End behaviour you have to look at what why does when x goes to -inf and inf.
X int are the points at which the graph crosses the x-axis.
The relative min and max are findable if you plug in the graph on desmos or a graphing calculator.
F(X) = 6/X
F(X) = 6 • 1/X
F(X) = 6 • x^-1
F(X) = 6x^-1
F'(X) = 6 • d(x^-1)/dx
F'(X) = 6 • -1x^-1-1
F'(X) = 6 • -1x^-2
F'(X) = -6x^-2
F'(X) = -6/x^2
F'(-2) = -6/(-2)^2
F'(-2) = -6/4
F'(-2) = -3/2
The solution would be C. -3/2.
Answer: The mean for the probability distribution will be 69.25.
Explanation:
Since we given that
As we know the formula for expectation of x i.e. known as mean for the probability distribution,
So, we apply this formula in our case,
Hence, the mean for the probability distribution will be 69.25.
Answer:
Answer: 25 miles
Step-by-step explanation:
Explanation: He will run 5 hours= 5x5=25
