function g is a transformation of the parent function f(x)=x^2 the graph of g is a translation right 2 and down 5units of the graph of f what is the equation of function g written in the form y=ax^2+bx+c?
Answers
right 3 units down 5 units
[tex]f(x)=x^2[/tex]
right 3 units = (3,0)
down 5 units = (0,-5)
vertex = (h,k) therefore.
[tex]g(x)=(x-3)^2-5[/tex]
Then convert the vertex form into standard form for the equation in the choice.
[tex]g(x)=(x-3)^2-5\\g(x)=(x^2-6x+9)-5+9\\g(x)=(x^2-6x)+4\\g(x)=x^2-6x+4[/tex]
Thus, the answer is B.
Related Questions
Determine slope of any line perpindicular to GH. (-1,2) (-2,-1)
Answers
Answer:
Perpendicular slope = – 1/m = -1/3 = -1/3
Step-by-step explanation:
Given the points
(-1,2)(-2,-1)[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:2\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-1\right)[/tex]
[tex]m=\frac{-1-2}{-2-\left(-1\right)}[/tex]
[tex]m=\frac{-1-2}{-2-\left(-1\right)}[/tex]
[tex]m=3[/tex]
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = 3
perpendicular slope = – 1/m = -1/3 = -1/3
Thus, the slope of any line perpendicular to GH = -1/3
40% of N is 80. Find N
Answers
Answer:
i think N=32
Step-by-step explanation:
Convert 48 2/5 into a decimal
Answers
Answer:
48 and 2/5 converted into decimal form is 48.4
Answer:
[tex]48.4[/tex]
Step-by-step explanation:
[tex]48 \frac{2}{5} \\ \frac{242}{5} \frac{ \times 20}{ \times 20} = \frac{4840}{100} \\ = 48.4[/tex]
It’s not 4 feet of snow that is 60% of snow that will fall. how much snow will fall??
Answers
Answer:
60% of snow
Step-by-step explanation:
Divide by 6
10% = 0.67 feet
Multiply by 10
100% = 6.67 Feet
The answer is 6.67 feet.
$1,000 is borrowed at an interest rate of 8% per year.
a. How much is owed at the end of one year if interest is compounded:
i. monthly?
ii. continuously?
b. How much is owed at the end of three years if interest is compounded
continuously?
Answers
Answer:
1 (240000)
2 (8000)
3(8160000)
answer correctly!!!!
Answers
Answer:
Y= 0
Step-by-step explanation:
Because y=4 it would be a straight horizontal line so the other line would have to be horizontal
Don’t worry about number three just tell me the answer to number 1
Answers
Answer 3 1 /2 in decimal it is -3.5
Step-by-step explanation:
___% of $6,000 = $5,400
Pls tell me how to do this
Answers
Answer:
45
Step-by-step explanation:
jffjgnjfgnjgjfgjs
Answer:
90%
Step-by-step explanation:
1. We assume, that the number 5400 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 5400, so we can write it down as 100%=5400.
4. We know, that x% equals 6000 of the output value, so we can write it down as x%=6000.
5. Now we have two simple equations:
1) 100%=5400
2) x%=6000
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=5400/6000
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 6000 is what percent of 5400
u= a-k-b solve for a
Answers
Answer:
a = b + k + u
Step-by-step explanation:
hope this helps
PLS HELP!!! I am gonna fail
Answers
Answer:
Help with what? You didn't post anything.
Step-by-step explanation:
Larry recorded his time as he ran. What was his average speed from hour 2 to hour 4?
Answers
Answer:
4-2=2
Step-by-step explanation:
Answer:
7 mph
Step-by-step explanation:
i took the same test on edg
Simplify.
(3x2 + 8x)(2x − 2)
A. 6x3 + 10x2 − 16x
B. 6x3 + 16x2 − 6x − 16
C. 6x2 + 10x − 16
D. 5x2 + 10x − 16
Answers
Answer:
6x3+10x2−16x or A
Step-by-step explanation:
I used an algebra calculator because im too lazy to work it out.
^algebra^
(3x2 + 8x)(2x − 2)
=3x²(2x-2)
=6x³ - 6x²
+8x(2x - 2)
=16x² - 16x
put it all together
=6x³ - 6x² + 16x² - 16x
group according to variables, then count
6x³ + (-6x² + 16x²) - 16x
=6x³ + (+10x²) - 16x
=6x³ + 10x² - 16x
FINALLY FOUND, MODERATOR!Susan is buying juice for a party. She wants to buy as many bottles of juice as possible, but she only has $10.00 to spend. If each bottle of juice costs $1.35, how can Susan calculate the number of bottles that she can buy?
A.Divide $10.00 by $1.35, and round the quotient down to the nearest whole number.
B.Divide $10.00 by $1.35, and round the quotient up to the nearest whole number.
C.Divide $1.35 by $10.00, and round the quotient down to the nearest whole number.
D.Subtract $1.35 from $10.00, and round the difference down to the nearest whole number.
GIVING BRAINLIEST
Answers
Answer:
A
Step-by-step explanation:
Answer:
A because $10 needed to be divided by $1.35 and and the rounding is needed to get the answer
Given f(x) = -8 + 1, find f(5)
Answers
Answer:
im guessing its actually -8x +1, so
-8 (5) +1
-40 +1
-39
A rectangular piece of cardboard measures 16 cm by 13 cm. What is the perimeter of the piece of cardboard?
Answers
Answer:
fifty eight centimeters I believe
Answer:
58cm
Step-by-step explanation:
a rectangle has two of the same sides so 16×2=32
and
13×2=26
so
32+26=58
2(7m−5)+(−8+9m)=?
Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.
Answers
Answer:
23m-18
Step-by-step explanation:
2(7m−5)+(−8+9m)
Remove parenthesis
2(7m-5)-8+9m
expand
14m-10
14m-10-8+9
simplify
23m-18
Ask me for more questions brainliest please.
Applications of Quadratic Functions. Please help! Ignore C. I keep getting imaginary numbers. Am I supposed to get imaginary numbers? 9 points!
Answers
Answer:
Step-by-step explanation:
1.
a)
Find the vertex by completing the square to answer both a and b
d)
x-ints is when y=0
so use quadratic equation for
b^2-20b+200=0
a=1
b= -20
c=200
But notice these imaginary numbers means 0 x intercepts.
a plant measured x inches tall this week
Answers
Yeah not sure what is your question?
I need help, I got 80 and 90 but it said I was wrong...
Answers
Answer:
I think it is 90 and 100
Step-by-step explanation:
I used this equation: x is the speed of the slower train
910 = (5x + 10) + 5x
Answer:
The answer is 86 and 96 mph
Step-by-step explanation:
Givens
Train A
Distance traveled = d
time taken = 5 hours
rate traveled = r
Train B
Distance traveled = 910 - d
time taken = 5 hours
rate = r + 10
Formula
basically d = r * t
Solution
Train A: d/r = 5 or d = 5*r
Train B = (910 - d)/(r + 10) = 5 or
Substitute d = 5*r into Train B
(910 - 5*r)/(r + 10) = 5 Multiply both sides by r + 10
(910 - 5r) = 5 * (r + 10) Remove the brackets on both sides
910 - 5r = 5r + 50 Add 5r to both sides
910 = 5r + 5r + 50
910 = 10r + 50 Subtract 50 from both sides
910 - 50 = 10r Combine the left
860 = 10r
10r = 860 Divide by 10
r = 860/10
r = 86
r + 10 = 96
Check
Train A distance: 5*r = 5 * 86 = 430
Train B distance: 5*r = 5 * 96 = 480
Total = 910
Write your answer with no spaces and any friction with “/“
Answers
Answer:
y=-5/3x+1
Step-by-step explanation:
The answer is y=-5/3x+1 because you would do the exact opposite of rise over run where it rises 5 units up and 3 units shifted right but instead it is still 3 units that are shifted to the right but 5 units down. We can also assume that the y-intercept is 1 based on where the slope is placed.
HELP ASAP ILL GIVE BRAINLIST
Answers
Answer:
Rotation of 270 degrees counterclockwise about the origin
Step-by-step explanation:
i need help asap what is 12g + 9g
Answers
Answer:
21 g
Step-by-step explanation:
you add 12g by 9g and you get 21g
Answer:21g
Step-by-step explanation: The answer is 21g
which is greater 0.25 or 0.04
Answers
Answer:
0.25
Step-by-step explanation:
ez
Answer:
.25
Step-by-step explanation:
12. Stephanie dilated the rectangle and the
dimensions of the image were 24 feet by 6 feet.
What was the scale factor used?
Answers
Answer:
The scale factor should be 4
Step-by-step explanation:
sry if it is wrong i needed pionts and had the same problem hope this helps though ((((P:))))))
Answer:
3/4...............
Step-by-step explanation:
have a nice day
Jenny puts 8 stickers on each page of her notebook she uses 72 stickers in. which equation can be used to find the number of pages of stickers in Jennys notebook
Answers
what is equivalent to 3 and 1/4 minus negative 5/8
Answers
Answer:
31/8
Step-by-step explanation:
3/1/4 - (-5/8)
13/4 + 5/8
find Lcm of 4 and 8 = 8
multiply their common factors with numerators.
13*2 + 5*1 = 31
=31/8 or 3/7/8 or 3.875
Answer:
3 and 7/8
Step-by-step explanation:
3 1/4 - ( - 5/8 ) = x
13/4 + 5/8 = x
26/8 + 5/8 = x
31/8 = x
x = 3 7/8
given s=3x+t/r, rearrange the equation for x, in terms of r,s, and t
Answers
9514 1404 393
Answer:
x = (rs -t)/(3r)
Step-by-step explanation:
[tex]s=3x+\dfrac{t}{r}\\\\s-\dfrac{t}{r}=3x\\\\\dfrac{rs-t}{3r}=x\\\\\boxed{x=\dfrac{rs-t}{3r}}[/tex]
A polynomial function of the root of -6 wth multipcily 1, a root of -2 with multiplicity 3, a root of 0 wth multiplicity 2, and a root of 4 wth multiplicity 3. If the function has a positive coefficient and is of odd degree, Which statement about the graph is true?
Answers
Figure out the probability below (ONLY REAL ANSWERS PLEASE)
Answers
Answer:
2/35
Step-by-step explanation:
fifteen total, 4 live in Gaston
so
4/15 times 3/14
because there is only 14 left to be selected and 3 left in Gaston
so 0.05714285714
or 2/35
1. Classify the triangle shown to the right.
A. Right, Scalene
B. Acute, Isosceles
97
C. Obtuse, Scalene
13°
70
D. Equiangular, Equilateral