All the relevant transformations are as shown in the explanations below.
<h3>How to Interpret Transformations?</h3>
We are given the original function as y = x and told the transformation is as follows;
1) y = x + 5; This means that the function was shifted 5 units to the left.
2) y = ³/₈x; This means that the function was vertically stretched by a scale factor of ³/₈.
3) y = -x - 2 or y = -(x + 2); This means that the function was first shifted by 2 units to the left before being reflected over the x-axis.
4) y = 6x + 1; This means that the function was stretched by a factor of 6 and then shifted 1 unit to the left.
5) y = x - 11; This means that the function was shifted 11 units to the right.
6) y = 8x; This means that the function was vertically stretched by a scale factor of 8.
7) y = -1/3x; This means that the function was horizontally stretched by a scale factor of 1/3.
Read more about Transformations at; brainly.com/question/4289712
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Answer:
A) 7x^3 + 13x^2 + 8x + 9
Step-by-step explanation:
(3x^2 + 2x + 7x^3) + (10x^2 + 6x + 9)
I like to line them up vertically
7x^3 +3x^2 + 2x
+ (10x^2 + 6x + 9)
-----------------------------------
7x^3 +13x^2 +8x +9
Answer:
Area = 7.853981 in^2 (2.5 Pi)
Perimeter = 11.42478 in (3.63Pi)
Step-by-step explanation:
Area
Lg semi circle area = Pi(2^2)(0.5) = 3.141593(4)0.5) = 6.283185 in^2
Sm semi circle area = Pi(1^2)(0.5) = 3.141593(2)(0.5) = 1.570796 in^2
added together = 7.853981 in^2
Perimeter
Lg semi circle perimeter = Pi(4)(0.5) + 2 = 8.283185 in
Sm semi circle perimeter = Pi(2)(0.5) = 3.141593 in
added together = 11.42478 in
Answer: b
Step-by-step explanation:
This will be a 4th degree polynomial. Our root of x = 7 in factorization form is (x-7). Our root of x = -11 in factorization form is (x+11) and the last one is a complex number. According to the conjugate root theorem, if we have 2+8i, we also HAVE to have 2-8i. In factorization form that first one is (x-(2+8i)) which simplifies to (x-2-8i). Its conjugate in factorization form is (x-2+8i). Now we will FOIL all that out. Let's start with the (x-2-8i)(x-2+8i). That multiplies out to
. We have to combine like terms here to shorten that a bit.
. i^2 is equal to -1, and -1(64) = -64. Now we have
. That is
. Now let's FOIL in another factorization.
. That comes out to
. One more term to go!
. That, finally, is
.
