The transformation has a horizontal shift right by 1 units and vertical shift upwards by 3 units. The graph is shown below.
What do you mean by transformation of a graph ?
The modification of an existing graph or graphed equation to create a different version of the following graph is known as transformation.
The functions given are :
f(x) = x²
and
g(x) = (x - 1)² + 3
Now , we know that , the horizontal shift depends on the value of h. The horizontal shift is described as:
g(x) = f (x + h)
Then , the graph is shifted to left by h units.
and
g(x) = f (x - h)
Then , the graph is shifted to right by h units.
If we compare f(x) with g(x) , their is a difference of -1 , it meant shift is right by 1 units.
Now , we know that , the vertical shift depends on the value of k. The vertical shift is described as:
g(x) = f(x) + k
Then , the graph is shifted up by k units.
and
g(x) = f(x) - k
Then , the graph is shifted down by k units.
Here , if we compare f(x) with g(x) there is addition of 3 in g(x) , this meant the graph is shifted upward by 3 units.
The graph of the function is attached below. Here , both of the functions are graphed.
Therefore , the transformation has a horizontal shift right by 1 units and vertical shift upwards by 3 units. The graph is shown below.
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A model of a tree is made using a scale of 1 inch = 25 feet. What is the height of the actual tree if the height of the model is 4 1/4 inches? Actual height of the tree is feet.
Answer: 4 1/4 inches = 106.25 ft
Step-by-step explanation:
1inch = 25 ft
4 inch = 100 ft
1/4 inch = 6.25 or 6 1/4
100+ 6.25= 106.25 ft
what is x
7x-21=4x-36
Answer:
x = -5
Step-by-step explanation:
Which of the following statements is true about the graphs of f(x) = 1 and g(x) = f(5x)?
a)The graph of g(x) is less steep than the graph of f(x).
b)The graphs of g(x) and f(x) have the same slope.
c)The graphs of g(x) and f(x) have different y-intercepts.
d)The graph of g(x) is steeper than the graph of f(x).
Answer:
okay i will answer but i dont see the question
Step-by-step explanation:
In △ACD, if AC≅AD, m∠A = 3x − 4, m∠C = 5x + 1, and m∠D = 7x − 27, find x and the measure of each angle.
Answer: x= 14
A= 38
C= 71
D= 71
6 blue slabs have a mean weight of 7 kg. 3 yellow slabs have a mean weight of 5 kg. 1 grey slab has a mean weight of 9kg. work out the mean of 10 slabs
Answer: 6.6kg
Step-by-step explanation:
6 blue slabs have a mean weight of 7 kg. The total weight of the 6 blue slabs will be:
= 6 × 7kg
= 42 kg
3 yellow slabs have a mean weight of 5 kg. The total weight of the 3 yellow slabs will be:
= 3 × 5kg
= 15kg
1 grey slab has a mean weight of 9kg.
To get the mean of the 10 slabs, we add their total weights together and divide by 10. This will be:
= (42kg + 15kg + 9kg)/10
= 66kg/10
= 6.6kg
Based on the information given the mean of 10 slabs is 6.6 kg.
Formulate
(9+5×3+6×7)/10
Calculate the quotient
9+15+6×7/10
9+15+42/10
Calculate the sum or difference
24+42/10
66/10
Reduce the fraction
33/5
Hence:
Mean=6.6 kg
Inconclusion the mean of 10 slabs is 6.6 kg.
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What are the last 3 digits of 5 to the power of 2020?
Answer:625
Step-by-step explanation:
Find the slope and y-intercept of the graph. y=5x-3
Answer:
Step-by-step explanation:
y=mx+b
your m is the slope and your b is the y-intercept
so for y=5x-3 your slope would be 5 and your y-intercept would be -3
The equation y = 5x - 3 represents a line with a slope of 5 and a y-intercept of -3.
How to Find the Slope and the Y-intercept of a Graph?The equation of a graph can be expressed as y = mx + b, which is in the slope-intercept form. This means that:
m is the slope
b is the y-intercept of the graph.
The line described by the equation y = 5x - 3 has a slope of 5, meaning that as x increases by 1, y increases by 5. The y-intercept, represented by the constant term -3, indicates that the line intersects the y-axis at the point (0, -3).
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Replacing one regular light bulb with a
compact fluorescent bulb will save 151.56
pounds of carbon dioxide per year. If you
replace 25 regular light bulbs, then how
many pounds of carbon dioxide will you save
per year?
Answer:
3789 pounds of carbon dioxide
multiply 151.56 by 25
Answer:
3789
Step-by-step explanation:
edge 2020
write and equation of the line that passes through the point (4, -2) and has a slope of -1/2.
Answer:
y
=
−
1
3
(
x
+
3
)
Step-by-step explanation:
The point-slope form of a linear equation is:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
(
x
1
,
y
1
)
is a point on the line and
m
is the slope.
Substituting the values from the point in the problem and the slope provided in the problem gives:
Answer:
y=-1/2x
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-1/2(x-4)
y+2=-1/2x+4/2
y+2=-1/2x+2
y=-1/2x+2-2
y=-1/2x
simply the following equations
a. -5(-3x - 2y +1)
b. 6(x + 3y -5)
Plz help!!!!
5. (a) A vehicle travels 240km in 4 hours. Find Its average speed in km/h.

(b) How far does it travel between 1pm and 5pm?
(c) How long does it take to travel 100km at the speed in (a) above
Answer:
a) 60 km
b) if it means 1 pm to 5 pm than answer will be 240 again
c)100/60
Put x = 4 + y in slope-intercept form.
Answer:
y=x-4
Step-by-step explanation:
I graphed this out and got the equation.
Please hurry bb :) Please don't put the wrong answer if u don't know <3
PLS HELP ASAP I WILL GIVE BRAINLYEST...
20 Points...
Answer:
True
True
False
True
Step-by-step explanation:
what property is 9+-9=0
In a deli the ratio of ham subs sold to cheese subs sold in a day was 9:4. If 36 cheese subs were sold how many ham subs were sold?
Answer:
oolollololollolollo
Step-by-step explanation:
The number of ham subs sold is given by the proportion equation A = 81
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number of ham subs sold be represented as A
Now , the proportion will be
The ratio of ham subs sold to cheese subs sold = 9 : 4
And , the number of cheese subs sold = 36
Substituting the values in the equation , we get
number of ham subs sold A / number of cheese subs sold = 9 / 4
On simplifying the equation , we get
A / 36 = 9 / 4
Multiply by 36 on both sides of the equation , we get
A = ( 9 x 36 ) / 4
A = 9 x 9
A = 81 ham subs
Therefore , the value of A is 81 ham subs
Hence , the number of ham subs sold is 81
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WILL MARK BRAINLIEST SHOW ALL YOUR WORK
Answer:
y = 1/3x - 4
Step-by-step explanation:
the line crosses the y-axis at -4
To calculate the gradient of a straight line we choose two points on the line itself. From these two points we calculate: The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates)
If we take the points (9,-1) and (6,-2), we do:
-1-(-2) = 1
9-6=3
which gives 1/3
Answer:
y = 1/3x - 4
Y- intercept = -4
Slope = 1/3
Step-by-step explanation:
Y intercept is where the line intercepts/passes through the y axis
Slope is how many units it takes HORIZONTALLY (side to side) to go up ONE unit VERTICALLY (up down)
It took the line 3 horizontal units to go up 1 vertical unit. So you divide 1 by 3 which gives you 1/3
1. Place a value under the radical symbol to make the statement true.
Answer:
24
Step-by-step explanation:
2 cuberoot 6 is equal to
2^2 times 6 which is 24
What is 325.623 rounded to the nearest tenth
Answer: 325.6
Step-by-step explanation: 6 is in the tenth place and you don't round up the two
Gavin read 6 books in 3 months. If he reads at a constant rate, how many books did he read each month? Give your answer as a whole number or a FRACTION in simplest form.
Answer:
2 books in one month
Step-by-step explanation:
Answer:
2 books per month .
Step-by-step explanation :
6 divided by 3 = 2
So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )
Hope that helped :)
GIVING BRAINIEST EXPLAIN ANSWER
Select the correct graph of ABC
Giving brainliest
Answer:
I think it is B.
Step-by-step explanation:
pls make me brainliest and that is the only answer that matches each statement
PLEASE HELP!!! 60 points will be rewarded to the person that answers this question correctly.
The two figures below have the same perimeter. What is the value of x?
1. Write an equation that can be used to represent the situation above
2. Solve the equation
3. Prove the solution by plugging it into both sides of the equation
Answer:
3 or 5
Step-by-step explanation:
Because follow the problem
what is the equation of the graphed line?
Answer:
y=mx+b
Step-by-step explanation:
you need to find the y intercept and the slope in order to write the equation in y intercept form slope is the change of u over the change in x
answer the question below, 100 points (and brainliest if it lets me, im desperate)
Hakim’s electrical car can go 180 miles on 2/3 of a full charge . How far can it go on 1 full charge?
Answer:
270 miles
Step-by-step explanation:
divide 180 by two to get a third, which is 90. Multiply by three to get the answer, which is 270
Answer:
270
Step-by-step explanation:
as you can see above me
Steph is a baker.
She bakes 42 white rolls and 60 brown rolls.
Write the ratio of white rolls to brown rolls in its simplest form.
white rolls:brown rolls
Answer:
42:60
Step-by-step explanation:
Answer:
7:10
Step-by-step explanation:
Simplify the ratio until you can't divide it anymore
!!30 points!!
The container that
holds the water for
the foorball team s 1/3
full. After pouring in 12
gallons of water, it is
7/9 full.
After pouring in 12
gallons of water, it is
7/9 full. How many
gallons can the
container hold?
Your answer would be 27 Gallons.
What are the dimensions of the rectangle shown on the coordinate plane?
The answers for me to choose from is on the pictures.
please help running out of time
Answer:
answer might be part b of the answers
Distance between y=2 and y=-6
Answer:
8
[2] +[-6]
2 + 6 = 8
Step-by-step explanation: