Answer:
a) f(x) translated up 4 units ⇒ vertical moving
b) f(x) stretched vertically by scale factor 5
c) f(x) translated 3 units to the left ⇒ horizontal moving
d) f(x) stretched horizontally by scale factor 1/0.1 = 10
e) f(x) compressed horizontally by scale factor 1/3 and reflected
about the y-axis
Step-by-step explanation:
∵ f(x) = 1/x
a) ∵ g(x) = 1/x + 4
∴ f(x) moved up 4 units ⇒ vertical moving
b) ∵ g(x) = 5(1/x)
∴ f(x) stretched vertically by scale factor 5
c) ∵ g(x) = 1/(x + 3)
∴ f(x) moved 3 units to the left ⇒ horizontal moving
d) ∵ g(x) = 1/0.1x
∴ f(x) stretched horizontally by scale factor 1/0.1 = 10
e) ∵ g(x) = 1/-3x
∴ f(x) compressed horizontally by scale factor 1/3 and reflected
about the y-axis
Answer:
Volume, 
Step-by-step explanation:
It is given that,
Diameter of spherical boulder is 18 ft
Weight of spherical boulder is 8 tons.
We need to find the volume of spherical boulder. The formula of the volume of sphere is given by :

r is radius of spherical boulder, r = 9 ft
Substituting all values in above formula :

The volume of spherical boulder is
.
Answer:
B. No the ordered pair does not satisfy the equation
Step-by-step explanation:
y = -9x - 2
Substitute the point in and see if it is true
-37 = -9(4) -2
-37 = -36 -2
-37 = -38
This is not true so the point is not a solution
The zero of the function is at 33.69 degree , the graph is plotted and attached with the answer.
<h3>What is a Function ?</h3>
A function is a law that relates a dependent variable and an independent variable with each other
It is given that
y = 2tan (x - π/2) +3
To find the zeroes of a function that function has to be equated to zero.
2tan (x - π/2) +3 = 0
2tan (x - π/2) = -3
tan (x - π/2) = -3/2
x - 90 = -56.31
x = 33.69 degree
The zero of the function is at 33.69 degree
For finding the maxima /minima
the derivative is
dy/dx = 2 sec² (x - π/2)
the point at which the slope is zero is substituted in the second derivative to find maxima/minima
d²y/dx² = 4 sec² (x - π/2) tan (x - π/2)
if the value is negative then it is a maxima and if it is positive it is a minima.
The vertical asymptote is found by finding the values that make the function undefined
x = 0+ πn
No horizontal or oblique asymptote
To know more about Function
brainly.com/question/12431044
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Answer:
x= -2
Step-by-step explanation: