Answer : option B
We have -2 in the given option
Lets use synthetic division and divide by -2
First write the coefficient of all the terms in f(x)
-2 3 10 4 -8
0 -6 -8 8
------------------------------------------------------
3 4 -4 0
We got remainder =0 , so -2 is one of the zero
Resultant expression is 3x^2 + 4x -4
Lets use synthetic division and divide by -2 again
-2 3 4 -4
0 -6 4
------------------------------------------------------
3 -2 0
We got remainder =0 , so -2 is again a zero
Resultant expression is 3x - 2
we set 3x -2 =0
Add 2 on both sides
3x = 2
Divide by 3 on both sides
So zeros are
Answer:
1. Vertical shrink by a factor of ¹/₅
2. Right 5
3. Up 5
Step-by-step explanation:
Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.
<u>Transformations</u>
For a > 0
Identify the transformations that take the parent function to the given function.
<u>Question 1</u>
Comparing the parent function with the given function, we can see that the <u>parent function</u> has been <u>multiplied</u> by ¹/₅.
Therefore, the transformation is:
As 0 < a < 1, the transformation visually is a compression in the y-direction, so we can also say: Vertical shrink by a factor of ¹/₅
<u>Question 2</u>
Comparing the parent function with the given function, we can see that 5 has been <u>subtracted from the x-value</u> of the parent function.
Therefore, the transformation is:
<u>Question 3</u>
Comparing the parent function with the given function, we can see that 5 has been <u>added to the parent function</u>.
Therefore, the transformation is:
Learn more about graph transformations here:
brainly.com/question/27845947
Answer:x=8/3 ; y=13/3
Step-by-step explanation: to find the intersection point or the solution of the graph, you need to equate these equations 1) y=5x-9 2) x+y=7 => y=7-x x equating the equations 5x-9=7-x => 6x=16 => x=8/3 ; y=13/3
Answer:
sphere (see the explanation)
Step-by-step explanation:
we know that
When you will rotate a circle about its diameter, you will obtain a sphere.
The radius of the sphere will the same as that of the circle.
In this problem
The circle is rotated about the line y=1
The line y=1 passes through a diameter of the circle
The equation of the circle is
see the attached figure to better understand the problem
so
The circle is rotated about its diameter
therefore
The resulting three-dimensional object will be a sphere with radius of 1