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 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
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:
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
PLS HELP WITH NUMBER 13 ITS URGENT
hope it helps
im not sure about it
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:
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:
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 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
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.
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
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 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
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.
If a sphere has volume 2,3041 pi cubic miles, what is its radius?
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
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)
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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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
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
SOMEONE MAKE CONVERSATION WITH ME <3
Answer:
Shoot I'm down. what you wanna talk about
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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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.
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! :)
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)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]
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.
if m<6=85° what is the measure of <3
Answer:
I am not sure , but my answer would be 42.5° .