g(x) = 3√(x-5) -1
The process of altering a graph to produce a different version of the preceding graph is known as graph transformation. The graphs can be moved about the x-y plane or translated. They may also be stretched, or they may undergo a mix of these changes.
Horizontal stretching: It means the graph is elongated or shrink in x direction.
Vertical stretching : It means the graph is elongated or shrink in y direction
Vertical translation : It means moving the base of the graph in y direction
Horizontal translation : It means moving the base of the graph in x direction
According to rules of transformation f(x)+c shift c units up and f(x)-c shift c units down.
Therefore, in order to move the graph down 1 units, we need to subtract given function by 1 , we get
g(x) = 3√x -1
According to rules of transformation f(x+c) shift c units left and f(x-c ) shift c units right.
Therefore, in order to move the graph left by 5 units, we need to add given function by 5 , we get
g(x) = 3√(x-5) -1
To learn more about graphical transformation, refer to brainly.com/question/4025726
#SPJ9
Answer:
C) P (X2 ≤ 8.2) = 0.96
Step-by-step explanation:
P value for the test is the probability of obtaining results that have been observed in the null hypothesis statement. A very small value of p indicates that there is unlikely chance of null hypothesis being true which means that we cannot accept null hypothesis based on the small p value.
The capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.
<h3>How to find the capacitance</h3>
Capacity of a cylinder is seen as its volume
Volume of a cylinder = πr²h
The heights of the cylinders are
a. 3cm
b. 9cm
c. 5cm
Let's find the radius
Capacity = 3. 142 × r² × 3
725 = 3. 142 × r² × 3
r² = 
r² = 
r² = 76. 91
r = √76. 91
r = 8. 77cm
Radius of the cylinders = 8. 77cm
For cylinder with height of 9cm
Capacitance = πr²h
Capacitance = 3. 142 × 8. 77 × 8. 77 × 9
Capacitance = 2174. 94 cm³
For cylinder with height of 5cm
Capacitance = 3. 142 × 8. 77 × 8. 77 × 5
Capacitance = 1208. 30 cm³
Thus, the capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.
Learn more about volume of a cylinder here:
brainly.com/question/9554871
#SPJ1
Answer:
Roots are : 1, -7 and -7
Step-by-step explanation:
When we put x = -1 in F(x) it is equal to 0
Thus, (x + 1) is factor of given function.
When we divide F(x) by (x + 1) it gives the value (x² - 6x - 7)
factorizing the work x² - 6x - 7 by middle term splitting.
> x² - 6x - 7 = x² - 7x + x - 7
> x(x - 7) + 1(x - 7)
> (x + 1) (x - 7)
then, x³ - 5x² - 13x - 7 = (x + 1)(x + 1)(x - 7)
x = -1, -1, 7 the factor.
D and C is the answers.
Step-by-step explanation:
