What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 5x2 + 12?
Answers
The graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.
What is graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph of the two functions is attached with the answer below. For the first graph, we will get the parabola whose vertex lies on the origin.
For the function h(x) = 5x² + 12 the graph will again parabolic having its vertex at ( 0,12) and the parabola is more compact than the parabola of the function F(x) = x².
Therefore the graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.
To know more about graphs follow
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Related Questions
If all else remains constant and the values of two variables move in the same direction it indicates a Group of answer choices negative slope relationship. inverse slope relationship. the values of the two variables will move in the same direction then move in opposite directions. positive slope relationship.
Answers
Answer:
positive slope relationship.
Step-by-step explanation:
When two variables move in the same direction, they are positively related. An increase in one variable would lead to an increase in the other variable.
For example, price and quantity supplied are positively correlated. An increase in price, leads to an increase in quantity supplied and a decrease in price leads to a decrease in quantity supplied.
Please check the attached image for a positively correlated curve
4. A dolphin decsends toward the bottom of
the ocean at a rate of 12 feet per second
for 20 seconds. How much did the
dolphin's position change in all? (5 points
for work, 5 points for answer) (TEK 7.3B)
Answers
6th grade math plsss help
Answers
Answer:
17.2
Step-by-step explanation:
Answer:
The answer is 17.2
Step-by-step explanation:
a)
percent.
A shopkeeper fixed the price of his articles 25 % above the cost price. If he sold an
article allowing 5% discount, find his profit percent.
Ashankeaner fived the more
bi
CL
Answers
why do you think that Eulid's ideas have lasted for thousands of years?
Answers
Answer:
ye
Step-by-step explanation:
MATCH THE CONSTANT WITH ITS EXPRESSION! HELP PLEASE I SUCK AT MATH❤️❤️❤️❤️
Answers
Answer:
Step-by-step explanation:
The constant of an equation is simply the number at the end without a variable. It is called a constant because it is the only term that doesn't change if you plug in a random x value. So:
The constant of 5a^2 + a - 1 is -1
The constant of 3x^2-x +1 is +1
The constant of y^2-2y+2 is +2
and the constant of m^2 +2m -2 is -2.
Hope this helped!
What is one equivalent ratio for 1/3
Answers
Answer: 2/6
Step-by-step explanation:
Answer:
[tex]\frac{2}{6}[/tex]
Step-by-step explanation:
In order to create an equal ratio to [tex]\frac{1}{3}[/tex], we need to find a constant to multiply both the numerator and the denominator by.
Let's do 2.
[tex]1\cdot 2 = 2\\\\3\cdot 2 = 6\\\\[/tex]
So:
[tex]\frac{2}{6}[/tex]
Hope this helped!
the daily cost of hiring a plumber to work x hours on a repair project can be modeled using linear function. the plumber charges a fixed cost of $80 plus and additional costs of $45 per hour. the plumber works a maximum of 8 hours per day.
for one day of work, what is the maximum daily cost that the plumber will charge?
Answers
Answer:
15 dollars
Step-by-step explanation:
NEED HELP ASAP (GET GOOD POINTS)
Answers
Answer:
3 degrees in 1 hour
Step-by-step explanation:
.75 degrees
-----------------
1/4 hours
Multiply the top and bottom by 4
.75 degrees *4
-----------------
1/4 hours*4
3 degrees
------------------
1 hour
Help! ASAP!!!
Use the map shown below to find the distance between cities A and B to the nearest tenth.
Answers
Answer:
7.2 units
Step-by-step explanation:
Coordinates of city A = (0, 0)
Coordinates of city B = (6, 4)
Use the distance formula to find the distance between the two cities as follows:
[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] A(0, 0) = (x_1, y_1) [/tex]
[tex] B(6, 4) = (x_2, y_2) [/tex]
Plug in the values into the formula
[tex] AB = \sqrt{(6 - 0)^2 + (4 - 0)^2} [/tex]
[tex] AB = \sqrt{(6)^2 + (4)^2} [/tex]
[tex] AB = \sqrt{36 + 16} = \sqrt{52} [/tex]
[tex] AB = 7.2 [/tex] (nearest tenth)
How much larger is 5 than -5 ? ( if using a number line what is the difference between -5 and 5)
Answers
Answer:
-10 if moving to left 10 if moving to the right
Step-by-step explanation:
The difference is 10 because if you go from 0 to 5 and then go to -5 you're skipping 10 units to the left go there if you're going right it's positive 10 if you're going left it's negative -10
The difference is 10.
5 - (-5) = 10.
you are subtracting a negative number.
That basically means adding.
a trick to that is using the two subtraction symbols to make a plus.
I added an image in case that didn’t make sense!
1.For this problem, 200 meters of fencing will all be used to place fence on all four sides of the rectangle. Your task is to write the area that can be enclosed as a function of the width, w, of the rectangle.
Area equation:
What is the domain for this function (what values do you expect the width to fall between)?
Answers
Answer:
Step-by-step explanation:
Given that:
the perimeter of the fencing (rectangle) = 200
Let recall that the area equation of a rectangle = L × w
The perimeter now = 2(L + w)
The perimeter = 2L + 2w
∴
200 = 2L +2w
Dividing both sides by 2
100 = L + w
Making Length L the subject; we have:
- L = -100 + w
L = 100 - w
Thus;
A(w) = (100 - w) w
and the domain of the function is (0,100)
1) The smallest perfect square number 1 point
divisible by 5, 6 and 27 is
Answers
Answer:
[tex]8100[/tex], which is the square of [tex]90[/tex].
Step-by-step explanation:
Factor the three divisors into prime numbers:
[tex]5[/tex] is a prime number itself.[tex]6 = 2\times 3[/tex].[tex]27 = 3^3[/tex].Any number divisible by these three divisors should include the following factors:
[tex]2[/tex],[tex]3^3[/tex], and [tex]5[/tex].Note that all these three prime factors have an odd power ([tex]1[/tex], [tex]3[/tex], and [tex]1[/tex], respectively)
[tex]2[/tex] becomes [tex]2^2[/tex] (add [tex]1[/tex] to the initial power of [tex]1[/tex] to obtain [tex]2[/tex].)[tex]3^3[/tex] becomes [tex]3^4[/tex].[tex]5[/tex] becomes [tex]5^2[/tex].The product of these three factors would be:
[tex]2^2 \times 3^4 \times 5^2 = 8100[/tex].
Indeed, [tex]8100[/tex] is divisible by all these three divisors. At the same time, because all the powers of its prime factors are even,
[tex]8100 = (2 \times 3^2 \times 5)^2 = 90^2[/tex].
Answer:
8100 is the smallest perfect square divisible by 5,6 and 27
Step-by-step explanation:
5 = 5 * 1
6 = 2 * 3
27 = 3 * 3 *3
5 * 6 * 27 = 2 * 3 * 3 * 3 * 3 * 5
Factors of perfect square will be perfect squares
To make this a perfect, multiply by 5 * 2
Perfect square = 5 * 6 * 27 * 5 * 2
= 8100
find the sum 9/10 + 4/100 =?
Answers
Exact Form: 47/50
Decimal Form: 0.94
−9 1 /6 + 7 help thanks ;)
Answers
Hey there!
ANSWER: [tex]-2\frac{1}{6}[/tex]EXPLANATION:[tex]-9\frac{1}{6}+7[/tex]
After that, multiply the whole number by the denominator and then add the numerator after you multiply.
[tex]-\frac{55}{6}+1[/tex]
[tex]9*6=54+1=55[/tex]
Now add the negative sign to 55.
[tex]\frac{-55}{6}+7[/tex]
[tex]\frac{-13}{6}[/tex]
Now simplify.
[tex]\frac{-13}{6}=-2\frac{1}{6}[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
The midpoint of AB is M(1, -3). If the coordinates of A are (4, -7), what are the
coordinates of B?
Answers
What is equivalent to
5[4 + 3(x – 6)]?
Answers
Answer:
odk
Step-by-step explanation:
distance between -6.5 and 5.25
Answers
Answer:
11.75
Step-by-step explanation:
Enter the mixed number as a decimal 3 and 1 over 10
Answers
What is the value expression for |-8|
Answers
Answer:
8
Step-by-step explanation:
Find x if EC is a bisector
AC = 3x+6 and CD = 2x + 14
ay
E
236
CON=-8
x=20
On=-20
KID X=8
Description
Answers
Answer:
x = 8Step-by-step explanation:
If EC is a bisector of AC and CD, then AC is equal to CD.
Given AC = 3x+6 and CD = 2x + 14, since AC = CD then;
3x+6 = 2x+14
subtract 6 from both sides
3x+6-6 = 2x+14-6
3x = 2x+8
subtract 2x from both sides
3x-2x = 2x+8-2x
x = 8
Hence the value of x is 8
Which input value produces the same output value for
the two functions on the graph?
x=-3
x= -2
x=-1
x= 3
Plzzzzz help me
Answers
The lines touch at point (-2,1)
What is x=to in this? 3x + 18 = 4x + 10
Answers
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
[tex]3x+18=4x+10[/tex]
Subtract 18 from both sides:
[tex]3x+18-18=4x+10-18[/tex]
[tex]3x=4x-8[/tex]
Subtract 4x from both sides:
[tex]3x-4x=4x-8-4x[/tex]
[tex]-x=-8[/tex]
Divide both sides by -1:
[tex]\frac{-x}{-1}=\frac{-8}{-1}\\[/tex]
[tex]x=8[/tex]
Is 6.60660666 a rational number?
Answers
Answer:
no
Step-by-step explanation:
100 x 0.64
Please help sorry I keep asking questions I’m doing a test and it’s kinda hard
Answers
100 x 0.64 = 64.
All you have to do is multiply the numbers as if there wasn’t a decimal.
Then you add a decimal after 2 numbers.
.64 has a decimal after 2 numbers so your answer would have a decimal after 2 numbers also.
So when you get 6400 you out a decimal after 00.
That gives you 64
Which of the following is an irrational number?
81/37
85
25
47
Answers
Five less than one half of a number is 18.
Answers
Answer:
x/2 - 5 = 18
Step-by-step explanation:
The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 parts are produced, how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength? How many would have a tensile strength in excess of 48 pounds?
Answers
Answer:
a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?
7933 parts
b) How many would have a tensile strength in excess of 48 pounds?
2739.95 parts
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?
z = (x-μ)/σ
x = 35 μ = 40 , σ = 5
z = 35 - 40/5
= -5/-5
= -1
Determining the Probability value from Z-Table:
P(x<35) = 0.15866
Converting to percentage = 15.866%
We are asked how many will fail to meet this specification
We have 50,000 parts
Hence,
15.866% of 50,000 parts will fail to meet the specification
= 15.866% of 50,000
= 7933 parts
Therefore, 7933 parts will fail to meet the specifications.
b) How many would have a tensile strength in excess of 48 pounds?
z = (x-μ)/σ
x = 48 μ = 40 , σ = 5
z = 48 - 40/5
z = 8/5
z = 1.6
P-value from Z-Table:
P(x<48) = 0.9452
P(x>48) = 1 - P(x<48)
1 - 0.9452
= 0.054799
Converting to percentage
= 5.4799%
Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds
We are asked, how many would have a tensile strength in excess of 48 pounds?
This would be 5.4799% of 50,000 parts
= 5.4799% × 50,000
= 2739.95
Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds
HELP PLZ
what is the formula to convert from Fahrenheit to celcius
Answers
(32°F − 32) × 5/9 = 0°C
horizontal translation
reflection over the x-axis
reflection over the y-axis
Answers
Answer:
The correct option is;
Reflection over the y-axis
Step-by-step explanation:
An even function is a function that satisfies the following function equation;
f(x) = f(-x)
Therefore, for an even function, we have;
f(x) - f(-x) = 0
Which gives that the values of f(x) of the even function is the same upon reflection about the y-axis whereby the values of x changes from x to -x
Therefore, the symmetry of an even function is about the y-axis
However, an odd function is a function that satisfies the following function equation;
f(-x) = -f(x)
Therefore, reflection across the y-axis will result in an inversion of the odd function such that the odd function is not symmetrical about the y-axis as we have;
f(-x) = -f(x) ≠ f(x) which simplifies to f(x) ≠ f(-x).