Given J(1, 1), K(3, 1), L(3, -4), and M(1, -4) and that J'(-1, 5), K'(1, 5), L'(1, 0), and M'(-1, 0). What is the rule that tran
anastassius [24]
(x; y) -> (x - 2; y + 4)
J(1; 1) ⇒ J'(1 - 2; 1 + 4) = (-1; 5)
K(3; 1) ⇒ K'(3 - 2; 1 + 4) = (1; 5)
L(3;-4) ⇒ L'(3 - 2; -4 + 4) = (1; 0)
M(1;-4) ⇒ M'(1 - 2;-4 + 4) = (-1; 0)
Answer: a) zeros: x = {0, 4, -2}
b) as x → ∞, y → ∞
as x → -∞, y → ∞
<u>Step-by-step explanation:</u>
I think you mean (a) find the zeros and (b) describe the end behavior
(a) Find the zeros by setting each factor equal to zero and solving for x:
x (x - 4) (x + 2)⁴ = 0
- x = 0 Multiplicity of 1 --> odd multiplicity so it crosses the x-axis
- x = 4 Multiplicity of 1 --> odd multiplicity so it crosses the x-axis
- x = -2 <u>Multiplicity of 4 </u> --> even multiplicity so it touches the x-axis
Degree = 6
(b) End behavior is determined by the following two criteria:
- Sign of Leading Coefficient (Right side): Positive is ↑, Negative is ↓
- Degree (Left side): Even is same direction as right side, Odd is opposite direction of right side
Sign of the leading coefficient is Positive so right side goes UP
as x → ∞, y → ∞
Degree of 6 is Even so Left side is the same direction as right (UP)
as x → -∞, y → ∞
Answer:
There is no single answer to this question other than The first graph on the left is the answer. But you should read the explanation and memorize it.
Step-by-step explanation:
It's the first graph on the right. The points are always plotted (without exception) as (x value which means go along the x axis horizontally - left or right.), (y value which means to up (for a plus y) or down for a minus y. These facts are just memorized.
Summary
(x,y)
- x goes either left or right.
- x>0 goes right.
- x<0 goes left.
- y goes up or down
- y > 0 goes up
- y < 0 goes down
Locations
First point (Please label this as first point) - 3 (that goes left) 2 that goes up
You should be putting it in the upper left space.
Second Point. (-2,-2) that goes 2 to left and 2 down. You should put that point in the lower left space. There's only 1 point in the lower left space and that is this point.
Third Point (0,1) That's the only point on the y axis. It is above the x axis. It is all by itself on the y axis line. The other two points are done the same way. Please make sure you try them.
Answer:
Length is 6 feet
Step-by-step explanation:
l=A
w=12
2=6
hope you get it right
Answer:
Step-by-step explanation:
Midpoints of two coordinates is expressed using the formula;
M(X, Y) = (x2+x1/2, y2+y1/2)
Given the coordinates c(5,3) and d(-3,-6)
x1 = 5, y1 = 3, x2 = -3 and y2 = -6
X = x1+x2/2
X = 5+(-3)/3
X = 5-3/2
X = 2/2
X = 1
Also;
Y = y1+y2/2
Y = 3+(-6)/2
Y = 3-6/2
Y = -3/2
Y = -1.5
