Function, Gerald should enter to the computer is g(x) = -2(x + 3)² - 4
Correct option is C.
What is transformation?Transformations are changes done in the shapes on a coordinate plane by rotation or reflection or translation.
Given,
Parent function f(x) = x²
g(x) = ?
Parabolic shape to be downward, meaning reflection over x- axisfor reflection over x - axis,
g(x) = -f(x)
g(x) = -x²
Stretch vertically by factor 2.For vertical stretch of factor a.
g(x) = a f(x)
g(x) = -2x²
Shift right by 3 unitsFor right shift by a
g(x) = f(x + a)
g(x) = -2(x + 3)²
Shift down by 4 unitsShift down by b units
g(x) = f(x) - b
g(x) = -2(x + 3)² - 4
Hence, g(x) = -2(x + 3)² - 4 is the function, Gerald should enter.
Learn more about transformation here:
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Find the area of the polygon, the vertices are (1,4) (2,1) (4,1) (5,4)
Answer:
Hello
Step-by-step explanation:
I need this quickly they both need expressions I think so
(will mark brainlist if right)
Answer:
1 - 155 +27n
2- 2x+15=33
Step-by-step explanation:
hope this helps
Three friends are buying seashells at the gift shop on the beach. Melanie buys 2 seashells for $0.80. Rosi buys 5 seashells for $2.00. Carlos buys 4 seashells for $1.60. Use a graph to determine whether the number of seashells and the cost have a proportional relationship. If so, what is the constant of proportionality and what does it mean?
Answer:
17.08
Step-by-step explanation:
Please help! Thank youuuuu~
Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught about math in it so it might help you.
A store buys a jacket for $60. The markup rate is $15. What is the percent of markup?
Answer:I think it’s 33.33%? Not 100% sure but I hope it helps!
Step-by-step explanation:
is this expression fully simplified? Explain
4x2 + 10 - x - 6x3
Answer:
-x
Step-by-step explanation:
Which choice could include the degrees of the angles in a quadrilateral?
A: 43,54,127,136
B: 25,35,63,57
C: 80,90,100,110
D: 50,91,101,128
First right equals brainliest, Pls dont answer for the points this is serious. I just need this and 3 more which I will ask later. Anyway I am making this worth more points because I need help:)
I can't see the picture, can you please explain the problem in the comment bar below this so can edit my answer to help?
How do you find the equation of each function? Function A is f(x)=3x^2 and Function C is f(x)=18x-16. How do you get those? And then how do you get the equation for Function B? Thanks!
Answer:
[tex]f(x) = 3^x[/tex] --- Function A
[tex]f(x) = x^2 - 5[/tex] --- Function B
[tex]f(x) = 18x -6[/tex] --- Function C
Step-by-step explanation:
Solving (a): Equation of Function A
An exponential equation is represented as:
[tex]y = ab^x[/tex]
From the graph of function A,
[tex]x = 0\ when\ y = 1[/tex]
[tex]x = 1\ when\ y = 3[/tex]
For: [tex]x = 0\ when\ y = 1[/tex]
[tex]y = ab^x[/tex] becomes
[tex]1 = ab^0[/tex]
[tex]1 = a[/tex]
[tex]a =1[/tex]
For: [tex]x = 1\ when\ y = 3[/tex]
[tex]y = ab^x[/tex] becomes
[tex]3 = a*b^1[/tex]
[tex]3 = a*b[/tex]
Substitute 1 for a
[tex]3 = 1*b[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
[tex]y = ab^x[/tex] becomes
[tex]y = 1*3^x[/tex]
[tex]y = 3^x[/tex]
Replace y with f(x)
[tex]f(x) = 3^x[/tex]
Solving (b): Equation of Function B
A quadratic equation is represented as:
[tex]y = ax^2 + bx + c[/tex]
From the table of function B,
[tex]x = 3\ when\ y =4[/tex]
[tex]x = 5\ when\ y =20[/tex]
[tex]x = 6\ when\ y =31[/tex]
For: [tex]x = 3\ when\ y =4[/tex]
[tex]y = ax^2 + bx + c[/tex] becomes
[tex]4 = a*3^2 + b*3 + c[/tex]
[tex]4 = a*9 + 3b + c[/tex]
[tex]4 = 9a + 3b + c[/tex]
For [tex]x = 5\ when\ y =20[/tex]
[tex]y = ax^2 + bx + c[/tex] becomes
[tex]20 = a*5^2 + b*5 + c[/tex]
[tex]20 = a*25 + b*5 + c[/tex]
[tex]20 = 25a + 5b + c[/tex]
For [tex]x = 6\ when\ y =31[/tex]
[tex]y = ax^2 + bx + c[/tex] becomes
[tex]31 = a*6^2 + b*6 + c[/tex]
[tex]31 = a*36 + b*6 + c[/tex]
[tex]31 = 36a + 6b + c[/tex]
So, we solve for a, b and c in:
[tex]4 = 9a + 3b + c[/tex]
[tex]20 = 25a + 5b + c[/tex]
[tex]31 = 36a + 6b + c[/tex]
Make c the subject in [tex]4 = 9a + 3b + c[/tex]
[tex]c = 4 - 9a - 3b[/tex]
Substitute [tex]c = 4 - 9a - 3b[/tex] in [tex]20 = 25a + 5b + c[/tex] and [tex]31 = 36a + 6b + c[/tex]
[tex]20 = 25a + 5b + c[/tex] becomes
[tex]20 = 25a + 5b + 4-9a-3b[/tex]
Collect Like Terms
[tex]-4+20 = 25a -9a+ 5b -3b[/tex]
[tex]16 = 16a+ 2b[/tex]
Divide through by 2
[tex]8 = 8a + b[/tex]
[tex]c = 4 - 9a - 3b[/tex]
[tex]31 = 36a + 6b + c[/tex] becomes
[tex]31 = 36a + 6b + 4 - 9a - 3b[/tex]
Collect Like Terms
[tex]-4+31 = 36a - 9a+ 6b - 3b[/tex]
[tex]27 = 27a+ 3b[/tex]
Divide through by 3
[tex]9 = 9a + b[/tex]
Solve for a and b in: [tex]8 = 8a + b[/tex] and [tex]9 = 9a + b[/tex]
Subtract both equations:
[tex]8 - 9 = 8a - 9a + b - b[/tex]
[tex]8 - 9 = 8a - 9a[/tex]
[tex]-1 = -a[/tex]
Divide both sides by -1
[tex]1 = a[/tex]
[tex]a = 1[/tex]
Substitute 1 for a in [tex]9 = 9a + b[/tex]
[tex]9 = 9*1 + b[/tex]
[tex]9 = 9 +b[/tex]
Subtract 9 from both sides
[tex]9-9=9-9+b[/tex]
[tex]0=b[/tex]
[tex]b = 0[/tex]
Substitute [tex]b = 0[/tex] and [tex]a = 1[/tex] in [tex]c = 4 - 9a - 3b[/tex]
[tex]c = 4 - 9*1-3*0[/tex]
[tex]c = 4 - 9-0[/tex]
[tex]c = -5[/tex]
So, the equation is:
[tex]y = ax^2 + bx + c[/tex]
[tex]y=1*x^2 +0*x-5[/tex]
[tex]y=x^2 -5[/tex]
Replace y with f(x)
[tex]f(x) = x^2 - 5[/tex]
Solving (c): Equation of Function C
This is calculated using:
[tex]f(x) =a + (x -1)d[/tex]
Where
[tex]a = 12[/tex] -- the first term
d = the difference between successive terms
[tex]d = 30 -12 = 48-30 = 66 -48[/tex]
[tex]d =18[/tex]
So, we have:
[tex]f(x) =a + (x -1)d[/tex]
[tex]f(x) = 12 + (x - 1)*18[/tex]
Open bracket
[tex]f(x) = 12 + 18x - 18[/tex]
Collect Like Terms
[tex]f(x) = 18x - 18+12[/tex]
[tex]f(x) = 18x -6[/tex]
Help me! Brainliest!
Answer:
Rip i saw you said times up :/
Step-by-step explanation:
PLS HELP ME!! I'm having a brain freeze at the moment-
Answer:
I'm sorry but I was doing it in my notebook and no and it came out a proper answer and well I'm not going to answer something that this bad I don't like to look bad the truth I thought was going to be easier but I couldn't do it I hope that another volunteer arrives and helps you and give you a better answer I will tell you what was my answer I think is not going to be bad 45.90
Step-by-step explanation:
if a van traveled 150 miles in 3 hours, how many miles could the van travel in 6 hours?
Answer:
300 because if he traveled 150 in 3 to find six just multiply by 2
Answer:
The van traveled 300 miles in 6 hours.
Step-by-step explanation:
150 divided by 3 = 50
So each hour the van traveled 50 miles.
50 x 6 = 300
halp me plez I dont wanna fail ( MUST BE A EXPRESSION)
Answer:
2x+15=33
Step-by-step explanation:
Let n be the number of days he has been doing sit ups, not counting the first day. Since he does 2 more sit-ups for each day, then the number of additional sit-ups is 2n.
Since he started doing 15 sit-ups on the first day, the total number of sit-ups
after x days would be 2n+15.
Since he did a total of 33 sit ups today, then 2n+15=33
Explain the parts of an algebraic expression and what algebraic expressions can represent.
Plzz helppp!!!!!!!!!!!!!
What is this shape called?
Answer:
This is a triangular prism
Step-by-step explanation:
Kelly has some money saved. After mowing two lawns on Saturday, she adds $40 to her savings. Write an expression to represent how much money has Kelly saved.
(will give brainlist.. if you put soething random then im reporting you and will email brianly and give them your user)
Answer:
x+40 or 40+x
Step-by-step explanation:
It doesn't tell you the amount of money she's saved before so you make it a variable. I used x.
After mowing she got $40 and decided to add that to her savings.
You already know her savings before, x, and now you have $40.
So you end up writing the expression x+40 or 40+x.
What is the probability that the computer produces the first letter of your name?
1/26
Because there are 26 letter in the Alphabet
Answer: 1/26
Step-by-step explanation:
Which equation could be used to solve problems involving the relationships between the angles?
A) 90+(8a+9)=(11+2a)
B) 90-(8a+9)=(11+2a)
C) (11+2a)-90=(8a+9)
D) (8a+9)-(11+2a)=90
Answer:
B
Step-by-step explanation:
help please, I need to know the ordered pair for the origin!
I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would appreciate it! (this is Pythagorean Theorem if your wondering).
Answer:
35 squared plus x squared equals 78 Squared
which makes your answer
69.7
Step-by-step explanation:
Answer:
35 square + x square 78 square
= 69.7
Step-by-step explanation:
What kind of symmetry does this figure have?
point
line
both line and point
neither
Answer:
line and point
Step-by-step explanation:
The kind of symmetry the figure given above posses is a line and point symmetry.
What is point symmetry?A point Symmetry also known as origin symmetry is a Symmetry which occurs when every part of an object has a matching part. That is, the same distance from the central point but in the opposite direction.
Given that;
The objects looks the same when viewed from opposite directions.
We know that;
A line of symmetry is a line that cuts a shape exactly into two equal half. That is, if you fold the shape along the line, both halves would match exactly.
Therefore, the figure given above has both point and line Symmetry.
Learn more about line and point symmetry:
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The question is in the photo :)
The equation for the area of a circle is given.
A=πr2
If the radius (r) of the circle is 3, what is the area in terms of π?
pls answer quick rjwejriwejriwekr
Answer: $181.48 O_O
Step-by-step explanation: i know that stuff
Answer:
$530.48
Step-by-step explanation:
i can answer now yay
A triangle is formed by intersecting lines.
What is the measure of angle x?
Mrs. Kelley is driving 540 miles to visit Niagra Falls. She drives at an average rate of 60 miles per hour. Using the formula d (distance) divided by r (rate) in order to find the time it will take for Mrs. Kelley to get to Niagra Falls. Pls help :c
Answer:
9 hours with no stops
Step-by-step explanation:
540 mile drive
60 MPH
distance divided by rate is 540 divided by 60 = 9
please help me with this for brainliest please dont play around XD
Answer:
23/6
Step-by-step explanation:
3/56
how do i find the area for this
Answer:
1,728 yd²
Step-by-step explanation:
Area = b × h
36 yd will be the replacement for b
48 yd will be the replacement for h
Now we multiply 36 by 48
36 × 48 = 1,728 yd²
Answer:
1728
Step-by-step explanation:
The spinner below is spun twice. What is the probability that the it will land on a white section and then a striped section?
Which of expressions illustrates the associative property?
ab + bc
a ( b + c ) = ab + bc
a ( b + c ) = (a + b ) + c
a + b + c = c + b + a
Answer:
c) a ( b + c ) = (a + b ) + c
Step-by-step explanation:
The associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.