Answer:
The line (or "axis") of symmetry is the y-axis, also known as the line x = 0. This line is marked green in the picture. The graph is said to be "symmetric about the y-axis", and this line of symmetry is also called the "axis of symmetry" for the parabola.
The equation of the function g(x), after the translation, is given as follows: g(x) = (x + 2)² + 4.
What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).
Right a units: f(x - a).
Up a units: f(x) + a.
Down a units: f(x) - a.
The parent function for this problem is given as follows:
f(x) = x².
For this problem, the parent function was moved:
2 units left, hence g(x) = f(x + 2).
4 units up, hence g(x) = f(x + 2) + 4.
Hence the function g(x) is defined as follows:
g(x) = (x + 2)² + 4.
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complete question:
G(x)
15
-10
5
The quadratic function. f(x) = x², is the solid orange line. What is the equation
of g(x), the green dashed line?
The bearings of ships A and B from a port P are 225° and 116° respectively. Ship A is 3.9km from ship B on a bearing of 258°.
Calculate the distance of ship A from P.
Please show workings and diagrams.
Answer:
2.54 kmStep-by-step explanation:
See the attached
All given details are reflected in the diagram (not to scale)
PA is at 225°, PB is at 116°, BA is at 258°AB = 3.9 kmAP = xm∠P = 225° - 116° = 109°m∠A = 258° - 225° = 33°m∠B = 180° - (109° + 33°) = 38°Use the law of sines:
x/ sin 38° = 3.9 / sin 109°x = 3.9 sin 38° / sin 109°x = 2.54 km (rounded)Solve for t. You must write your answer in fully simplified form.
−19=7t
Answer:
t=-19/7
Step-by-step explanation:
you need to isolate for t which means you need to get t all alone on one side of the equation. Do do that you can divide both sides by 7. This gives you -19/7=7t/7
we know that anything divided by itself is 1 so we get -19/7=t
This is the simplest for because 19 and 7 are both prime numbers, so you can't simplify them.
SOMEONE MAKE CONVERSATION WITH ME <3
Answer:
Shoot I'm down. what you wanna talk about
hel[ppppppppppp brainliestt
Answer: I think it is 10364 or 10248 because when i put it in a calculator I got 8803.4 or 10296
Step-by-step explanation:
find the value of given expression
[tex] \sqrt{32 + 4} [/tex]
Answer:
± 6
Step-by-step explanation:
Given
[tex]\sqrt{32+4}[/tex]
= [tex]\sqrt{36}[/tex]
= + 6 or - 6 , that is ± 6
Answer:
√{32+4}=√36=√6²=±6 is your answer
Hey lol can someone help with this question?
an 18- inch board was cut into two pieces. The first piece was 4 inches shorter than the second piece. What were the lengths of each piece
Answer:
one side would be 11 inches and the other side would be 7
Step-by-step explanation:
7 is 4 inches shorter than 11 and the board is 18 inches so when you add 11 and 7 you get 17
Answer:
18 divided by 2= 9
Take one out if the two 9's and minus 4 from only one of them.
9-4=5
Now you have the answer!
Answer: 9 and 5
Hope this helped! :)
2 EASY QUESTIONS HELPP
Answer:
a) 1.6
b)1.875
Step-by-step explanation:
Answer:
a) 5/8, 0r 0.625
b)15/8, or. 1.875, or 1 7/8
Use the functions f(x)=10-9/2x, g(x)=|-3x+16|, and h(x)=-x^2+8
Find h(a-4). urgent please answer
The value of h(a -4) is -a² + 8a - 8
What is a function?
A function can be defined as an expression or rule that explains the relationship between a dependent and an independent variable.
Given the functions;
f(x)=10-9/2x g(x)=|-3x+16| h(x)=-x^2+8To determine h(a-4), we substitute the value of x as a - 4 in the h(x) function, we have;
h(a - 4) =- (a - 4)² + 8
expand the bracket
h(a - 4) = - ( a - 4)(a - 4) + 8
h(a - 4) = - (a²- 4a - 4a + 16) + 8
collect like terms
h(a - 4) = - a² + 8a -16 + 8
h(a - 4) = -a² + 8a - 8
Thus, the value of h(a -4) is -a² + 8a - 8
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if m<6=85° what is the measure of <3
Answer:
I am not sure , but my answer would be 42.5° .
Help me pls
(if here for points go away I will report)
If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is f(x) = 3(4)x + 45. How does this graph compare with the original graph of Amber's photo share?
Answer:
We know that Amber decided to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, and after this, the function representing the photo shares is:
f(x) = 3*(4)^x + 45
We do not know the initial function, but with the given information we can assume that the original equation is:
g(x) = 3*(4)^x
Then the new function is:
f(x) = g(x) + 45.
This is a vertical translation, remember that for a function h(x), a vertical translation of N units is written as:
k(x) = h(x) + N
if N is positive, we have a translation of N units up
if N is negative, we have a translation of N units down.
in this case we have;
f(x) = g(x) + 45
This means that f(x) is a vertical translation of 45 units of g(x), then:
the graph of the new function is 45 units above the original function.
Use the relationship between quantities to calculate the
missing values in the table.
A =
B = please help me
Answer:
A=750
B=1250
Step-by-step explanation: I got it right on edge.
The distance between 5,-8 and 5,7 hurry please
Answer:
it should be 15
Step-by-step explanation:
Answer:
15 units
Step-by-step explanation:
Since the x- coordinates of both points are the same, then calculate the distance between the y- coordinates using the absolute value, that is
d = | - 8 - 7 | = | - 15 | = 15 , or
d = | 7 - (- 8) | = | 7 + 8 | = | 15 | = 15
PLS HELP WITH NUMBER 13 ITS URGENT
hope it helps
im not sure about it
PLZ HELP IF ITS CORRECT ILL BE SO GRATEFUL IMAO
Answer: 16
Add all the matches
Answer:
There will be 17 sticks
Step-by-step explanation:
help asap!!!
exponential function matching table..?
Answer:
Step-by-step explanation:
Exponential equations have the form of a geometric sequence
[tex]y=ar^x\text{ y=final value, a=initial value, r=common ratio, x=term number}\\ \\ \text{The common ratio is found by dividing any term by the previous term, in this case}\\ \\ r=\frac{1}{3},\ a=27\\ \\ f(x)=27\left(\frac{1}{3}\right)^x[/tex]
The equation y=250,000(1.1)x closely models the value of his home, y, when x is the number of years since 2002.
Using this equation, what would we have expected to be the value of his condo in the year 2006?
Value in 2006:
Answer:
The value in 2006 is 366,025
Step-by-step explanation:
Here, we want to get the value of y in 2006
what we have to do here is to find and substitute the missing value of x
The missing value x is the difference between the number of years in 2002 and 2006
we have this as 2006-2002 = 4
so we have to substitute 4 here for x
Thus, we have this as;
y = 250,000(1.1)^4
y = 366,025
Find the area and the circumference of a circle with diameter of 5m. Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers
Answer:
Step-by-step explanation:
Diameter (d) = 5cm
Radius ( r) = d/2 = 5 / 2 = 2.5
Now
Area
= πr²
= 3.14 * (2.5)²
= 19.625 m²
Circumference
= πd
= 3.14 * 5
= 15.7 m
Hope it will help :)
Find the area of the polygon.
Answer: 72
Step-by-step explanation: 6*2=12 6*10=60 Normally you would divide by 2 to get triangles but since there are two of each, you don't.
Answer:
Solution given:
diagonal 1=AC=6+6=12units
diagonal 2=BD=2+10=12units
area of polygon (rhombus)=½*(diagonal 1*diagonal 2)
=½(12*12)=12*6=72square units
Area=72square units
point B is the image of the point A when A is rotated 90° counterclockwise around the origin
point B must be the same ________ from the origin as point A
Answer:
distance
Step-by-step explanation:
Point B must be the same distance from the origin as point A.
What is Rotation?Rotation is a kind of geometric transformation where a figure or point is rotated by a certain degrees about a given point.
Given that,
Point B is the image of the point A when A is rotated 90° counterclockwise around the origin.
A point P(x, y) after the rotation of 90°counterclockwise around the origin is P'(-y, x).
So the x coordinate changes to the negative of y coordinate and y coordinate changes to x coordinate.
Distance between P(x, y) from origin (0, 0) is √(x² + y²)
Similarly the distance P'(-y, x) from origin (0, 0) is √((-y)² + x²) = √(x² + y²)
Hence they are at the same distance.
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If a sphere has volume 2,3041 pi cubic miles, what is its radius?
Slove The System of linear
equations by graphing.
Y=-x+4. 4=2x-8
Answer:
y= -x+4
4= 2x-8
Christine has to carry 283 apples from a farm to the market. How many baskets will she need, given that each basket can hold 32 apples?
Answer:
She will need 9 baskets.
(The exact answer is 8.84 but you can't have an eighth of a basket)
what is the volume of the rectangular pyramid shown
Answer:
80 cm^3 = V
Step-by-step explanation:
The volume of a rectangular pyramid of base area A and height h is
V = (1/3)(base)(height).
Given that the dimensions of the base are L = 10 cm and W = 4 cm, the base area is 40 cm^2.
The height of the pyramid is h = 6 cm.
Therefore the volume of this particular pyramid is
V = (1/3)(40 cm^2)(6 cm), or V = 80 cm^3
WILL GIVE BRAINLIEST!
A triangle has a 62° angle and a right angle. What is the measure of the third angle?
Answer:
Measure of the third angle is 28°
Step-by-step explanation:
A Triangle has three angles in total which when summed up equal to 180 degrees. Now the information in the question is that the first angle is 62° the second angle is a right angle which means it is a 90° angle and we need the third angle, and when all of this when added equals 180° So,
We let the third angle be called x.
[tex]62 + 90 + x = 180\\\\152+x=180\\\\x=180-152\\\\x=28[/tex]
So our third angle is 28°
Step-by-step explanation:
Sum of angles on a straight line = 180°
Let the third angle be x°
62° + 90° + x° = 180°......(Sum of angles on a straight)
152° + x. = 180°
x°. = 180°-152°
x° =28°
.PLEASE GIVE BRAINLIEST.
Hi I need help please I will give you 10 each person
Answer:
[-5,1] or [-4,5]
Step-by-step explanation:
Here, we want to get the intervals over which there is an average rate of change of zero for f
For this to happen, over the given interval, there will not be a change in the y-axis value
What this mean is that the y-axis value will remain the same over this given interval
for x = -5 to x = 1, we have this
for x = -4 to x = 5 , we have this
The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wraps cost $1.00 and the chicken wraps cost $1.50. Today they made $149.00 from the 105 wraps sold. How many wraps sold were vegetarian?
Answer:
17 wraps
Step-by-step explanation:
Given data
let the number of vegetarian wraps be x
and chicken wraps be y
so
x+1.5y= 149------------1
and
x+y= 105----------------2
the systems of equation for the problem is
x+1.5y= 149
x+y= 105
from 2
x= 105-y
put this in 1
105-y+1.5y= 149
105-0.5y= 149
-0.5y= 149-105
-0.5y=44
y= 44/0.5
y= 88
put y = 88 in 2
x+88= 105
x= 105-88
x= 17
If you get it right you get brainliest and the points,
Special Triangles 30, 60, 90
Answer:
10[tex]\sqrt{3}[/tex], or 17.32050
Step-by-step explanation:
1. What is the mass of an object if it takes a net force of 25 N to accelerate it at a rate of 0.88 m/s2?
Answer:
28.4 kg
Step-by-step explanation:
F = ma
F is 25 N and a is 0.88 m/s^2
25 = 0.88m
Divide both sides by 0.88
m = 28.4 kg
The mass of an object is 28.4 kg.
It is required to find the mass of an object.
What is force?The capacity to do work or cause physical change; energy, strength, or active power. The push or pull on an object with mass causes it to change its velocity. Force is an external agent capable of changing a body's state of rest or motion. It has a magnitude and a direction.
Given:
Net force = 25 N
Acceleration=0.88 m/s^2
According to given question we have,
F = ma
25 = 0.88m
Divide both sides by 0.88
m = 28.4 kg
Therefore, the mass of an object is 28.4 kg.
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Which diagram does not represent a
function?
Answer:
your answer is correct its option B
Step-by-step explanation:
hope it's helpful...
have a great day