Answers
9514 1404 393
Answer:
h = -2; k = 0; vertex = (-2, 0)h = 3; k = 0; vertex = (3, 0)Step-by-step explanation:
Translation of a function to the right h units and up k units is accomplished by ...
g(x) = f(x -h) +k
Here, we have f(x) = |x|, so the translation will be ...
g(x) = |x -h| +k
or ...
y = |x -h| +k
__
The function y = |x| has its vertex at (0, 0), so translation by (h, k) moves the vertex to (0 +h, 0 +k) = (h, k).
__
You will notice that the given equations you are given have no "+k" added on, so k = 0 in both cases. The value of h is the opposite of the constant between the absolute value bars.
1. y = |x +2|
h = -2, k = 0
vertex: (-2, 0)
__
2. y = |x -3|
h = 3, k = 0
vertex: (3, 0)
_____
Additional comment
This is all about matching patterns. You need to be able to identify the variable (x) and what has been added or subtracted to/from it. You need to be able to identify the "parent" function (what you have with nothing added or subtracted), and determine if something is added or subtracted to to/from that. Here, the parent function is |x|. Nothing has been added to the function (outside the absolute value bars), but something has been added to x (inside the absolute value bars).
Related Questions
Express 330° in radian measure
Answers
Answer:
5.76rad
Step-by-step explanation:
330 degrees times π/180 = 5.76rad
Answer:
11pi/6
Step-by-step explanation:
^_^
What is the equation of the line that passes through the points (2,6) and (4, 10)?
Answers
Answer:
y=2x+2
Step-by-step explanation:
took a test and got it right
2x - 3y = 6
Find the x and y Intercepts
Answers
Answer:
x-intercept(s): (3,0)
y-intercept(s): (0,−2)
Step-by-step explanation:
Answer:
x=3 and y=-2
Step-by-step explanation:
2x - 3y = 6
cancel out the y
2x - 3(0) = 6
2x = 6
divide both sides by 2
x = 3
2x - 3y = 6
cancel out the x
2(0) - 3y = 6
-3y = 6
divide both sides by -3
y = -2
Hope this helps!!
Which of the following is NOT one of the main components of the cell theory?
1.Cells must contain DNA
2.All living things are made of cells
3.cells can only come from other cells
4.Cells are the basic unit of life
Answers
Answer:
number 1 so a (=
Step-by-step explanation:
x +1 = -5
Graphing linear
Answers
Answer:
x= -6
Step-by-step explanation:
Expert Help ASAP Please!
Answers
Answer:
htdxdfdfg
Step-by-step explanation:
PLEASE HELP ME PLEASE
Answers
Answer:
8.5
Step-by-step explanation:
15x+10+6x+2=180 (add up to we 180 because they are alternate eachother
21x+12=180 combine like terms
21x=178 subtract 12 from both sides
x~~8.5 divide both sides by 21
Which quadrilateral has opposite angles congruent? Select all that apply
Answers
you flip a coin twice what is the probability of getting tails then getting heads
HELP ASAP
Answers
Answer: The odds of getting tails twice in a row are 1/2 * 1/2 = 1/4. So 25% of the time you'll get heads twice in a row. But, if you've already flipped a coin 99 times, and gotten heads each time, then the odds of your next flip being heads is still just 50:50.
Step-by-step explanation:
(Worth 11 points) I have this semester a unit test and i reallllllly need help wif this question, I will mark you. But im really hoping i can get a good grade on it if you can help thanks!
Answers
Answer:
r u finding the slope? bc the slope is -3/1.5
the y intercept is -3
the x intercept is -1.5
Step-by-step explanation:
hope this helped!!! and if i didnt, im sorryyy!!
Answer:
it is most likely -2
Step-by-step explanation:
its hard to see the grid
15 points and BRAINLIEST John and his sister each bought a car in 2005. John's car cost $3,000 and is decreasing in value $150 per year. The value () of his sister's car x years after 2005 is given by
the function V(x) = 250x + 4,000. Which statement correctly compares the values of the cars from 2005 until 2017?
Answers
Answer:
C
Step-by-step explanation:
Find the Retail Price. Given: Original Price: $200; Markdown: 20.5%
Answers
Answer:
Step-by-step explanation:
need help ASAP - midterm
- 60 points
Answers
Answer:
I think 9.3 but I ain't sure
What is the constant rate of change in this?
Answers
Answer:
-1/2 or -0.5
Step-by-step explanation:
using y2-y1/x2-x1 on any two points: 2.5-5/1--4 = -1/2 or -0.5
Write True or False and then explain. The angle of depression is the same degree measure as the angle of elevation in a diagram.
Answers
Answer:
The term angle of elevation denotes the angle from the horizontal upward to an object. An observer's line of sight would be above the horizontal. The term angle of depression denotes the angle from the horizontal downward to an object. ... Note that the angle of elevation and the angle of depression are congruent .
Step-by-step explanation:
True
Use the simple interest formula to find the ending balance. S5000 at 5. for 3.5 years.
Answers
Answer:
5000 * 0.05 * 3.5 = 875
5000 + 875 = 5875
answer: ending balance $5,875
Step-by-step explanation:
Please I need helppp
A)the vertex is (0,15)
B)h=2 and k=3
C)h=3 and k=2
D) (2,3) can be used as the extra point
E) the value in the equation is positive
F) the value in the equation is negative
Answers
Answer: ksbddbcxkdbdijc
Step-by-step explanation:
Mr. Rozario bought some apples and oranges. The ratio of the number of apples to the number of oranges are 2:5. He gave 3/4 of the apples to his sister and 34 oranges to his brother. The ratio of the number of oranges to the number of apples that he has now is 2:3.
How many apples did Mr. Rozario buy?
How many oranges did Mr. Rozario buy? Please help fastttttttt
Answers
Answer:
How many apples did Mr. Rozario buy?
16 apples
How many oranges did Mr. Rozario buy? 40 oranges
Step-by-step explanation:
From the question, we know that:
The ratio of the number of apples to the number of oranges are 2:5.
We represent the total number of fruits as x
Let
The number of apples he bought be represented as 2x
The number of oranges he bought be represented by
= 5x
He gave 3/4 of the apples to his sister and 34 oranges to his brother.
This means now, the number of apples he has left =1 - 3/4(2x) = 1/4(2x)
The number of oranges he has left = 5 - 34
The ratio of the number of oranges to the number of apples that he has now is 2:3.
1/4(2x) : 5x - 34 = 2:3
x/2:5x - 34 = 2:3
= x/2/5x-34 = 2/3
Cross Multiply
(x/2)3 = 5x - 34(2)
3x/2 = 10x - 68
Cross Multiply again
3x = 2(10x - 68)
3x = 20x - 136
20x - 3x = 126
17x = 126.
x = 126/17
x = 8
Hence:
The number of apples he bought be represented as 2x
So: 2 × 8 = 16 apples
The number of oranges he bought be represented by
= 5x
so: 5 × 8 = 40 oranges
Therefore, the number of Apples Mr Rosario bought is 16 apples
The number of oranges Mr Rosario bought is 40 oranges
_ is the repetition of the same pattern formed by congruent figures in math's
Answers
Answer:
regular tessellation
Step-by-step explanation:
A regular tessellation is a repeating pattern of congruent regular polygons on a plane with no gaps or overlaps.
Since a regular tessellation is with no gaps and overlaps, the only regular polygons that will tessellate are equilateral triangles, squares and regular hexagons. Therefore, there are only three types regular tessellations (ones made from squares, equilateral triangles and hexagons),
I really need help with this badly
Answers
Suppose the temperature in Nashville is 42˚ and it is decreasing 3˚ each hour. The temperature in Kansas City is 27˚ and is increasing by 2˚ each hour. After how many hours will the temperature in both cities be the same?
Answers
Someone PLEASE HELP!!!
Answers
Answer:
yellow
Step-by-step explanation:
Answer:
3, 12, 21
Step-by-step explanation:
add 8 to 10, multiply the result by v, then raise what you have to the 4th power
Answers
If the triangles are congruent,
then x =
[?]
13
4x+1
2x+y
8x-2y
Enter the number that belongs in
the green box
Answers
Explanation:
If the two triangle are congruent then all of their sides are also congruent.
4x + 1 = 13
4x = 13 - 1
4x = 12
x = 12/4 = 3
Please help I don’t understand
Answers
Answer:
Step-by-step explanation:
when you draw a line through both it show that the are parallel and will never touch.
Answer:
simple
Step-by-step explanation:
i can't give the answer but a hint is that AC is the same as dot A and Dot C you see on the image and EF is dot E and dot F on the image too.
show how both are paralell(lines never meet).
Help I only got a limited time
Answers
Answer:
Red
Step-by-step explanation:
Y intercept is 1
Slope is -2 (line is going down so the slope is negative)
Answer:
the yellow box
Step-by-step explanation:
Plz help me I need help
Answers
Answer:
No
Step-by-step explanation:
The two shown sides would have to be and equal solved number.
They are not.
Orange is the correct answer.
if the expression (x + 5 )to the 6th is expanded what is the coefficient of the linear X term?
Answers
Answer:
Coefficient of x = C(6,5) (5)^5 = 18750
Answer: 6*5^5
Step-by-step explanation:
Got it wrong and this was the right one.
The cost of cookies at store A are shown in the graph. The cost y for x cookies at store B is represented by the equation y=0.30x. Which of the following statements is true?
Answers
The relationship between the cost of cookies and the number of cookies is
a proportional relationship.
Correct response:
c. The cookies at store B cost moreMethod by which the above option is selectedThe function of the given graph for the cost of cookies at store A is found as follows;
The graph is a straight line passing through the origin, therefore, the equation is of the form;
y = m·x
The cost of 2 cookies = $0.5
Therefore;
The cost of 1 cookie at store A = $0.5 ÷ 2 = $0.25
Therefore, the cost of y cookies = 0.25·x
Where;
x = The number of cookies
The equation representing the cost y for x cookies in store B in dollars is given as follows;
y = 0.30·x
Therefore, the cost of 1 cookie at store B = $0.30 × 1 = $0.30
Therefore;
The cookies at store B cost moreLearn more about the proportional relationships here:
https://brainly.com/question/2575222
Solve for x: 7(9 + x) = 84
x= 3
x= 21
x=16
x=64
PLEASE HURRY WILL GIVE BRAINLIEST!!!
Answers
Answer:
my answer is 2 . 3 I think
