The transformations of f(x) when compared to the parent function is the graph of [tex]f(x)=x^2+5[/tex] is moved 5 units up
Transformation of functions
Transformation of function is transforming a function from one form to another form .
Rules of transformation :f(x)-> f(x)+a , f(x) will be moved 'a' units up
f(x)-> f(x)-a , f(x) will be moved 'a' units down
f(x)-> f(x-a) , f(x) will be moved 'a' units right
f(x)-> f(x+a) , f(x) will be moved 'a' units left
f(x)-> -f(x), f(x) will be reflected across x-axis
f(x)-> f(-x), f(x) will be reflected across y-axis
For quadratic, the parent function is [tex]f(x)=x^2[/tex]
Given that [tex]f(x)=x^2+5[/tex]
Here , 5 is added with f(x) at the end
f(x)-> f(x)+a , f(x) will be moved 'a' units up
[tex]f(x)=x^2 ------ > f(x) =x^2+5[/tex]
The graph of f(x) will be move 5 units up
the transformations of f(x) when compared to the parent function is the graph is moved 5 units up
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PLEASE HELP ME!!!! HOW DO I GRAPH THIS??????
Answer:
draw the picture then put a box around it and label the body parts and that fun stuff
[4 ×{ 3 - ( 2- 1/3 )}]
help me please, please
help with geometry question please
Answer:
23.5
Step-by-step explanation:
30.2-6.7=23.5
23.5+6.7=30.2
use the table to predict the number of times you spin 5 when you spin the spinner 100 times
Answer:
14
Step-by-step explanation:
Add all values in "Times spun".
9 + 11 + 7 + 9 + 7 + 7
= 50
The spinner was spun a total of 50 times in the table.
We are looking for information if the spinner is spun 100 times, which is double of 50.
To predict information for spinning 100 times, double the data given in the table.
# of times "5" was spun for 50 spins (in table): 7
Double 7:
7 * 2 = 14
# of times "5" will likely be spun for 100 spins: 14
Or, solve using proportions:
The proportions are given in: (times "5" was spun)/(total spins)
[tex]\frac{7}{50} = \frac{?}{100}[/tex]
Since you double 50 to make 100, double 7 to solve for "?"
[tex]\frac{7}{50} = \frac{14}{100}[/tex]
∴ if you spin the spinner 100 times, you will spin "5" 14 times.
Answer:
14
Step-by-step explanation:
7 * 2 = 14
(5,2) & (-3, 6)
questions said slope intercept form
write the equation of the line that passes through the two Points
Answer:
-1/2x + 4.5
Step-by-step explanation:
Find out the slope by substituting the values in the formulas.
y2 - y1 / x2 - x1 6 - 2 / -3 - 5
-1/2
Now find the y-intercept.
y = mx + b
6 = -1/2 (-3) + b
6 = 3/2 + b
9/2 = b
What is the image point of (7,0) after a translation right 2 units and up 1 unit?
Answer: (9,1)
Step-by-step explanation: This is because x (7) moves left and right, and y (0) moves up and down. the formula would be (x, y) --->(x+2, y+1)
plz help find the area asap i really need help with the math problems
for the third picture Copy the problem, mark the givens in the diagram, and write a Statement/Reason proof. Given: CN = WN, ∠C ≅ ∠W Prove: RN ≅ ON
Answer:
uh the area is 45 for the first one because 15*9 is 135 and 15*6 is 90 because you get 6 from 15-9 to get the length for the triangle. Then 135-90 is 45.
Step-by-step explanation:
The area for the second shape is 114 because you will take 14 multiplied by 12 and you get 168, then you will take 6*9 which is 54 and subtract that from 168, and you should get 114.
The area for the third shape is i dont even know because it doesnt give numbers unless your trying to find it with the letters but at least you got the first two
Answer:
45
Step-by-step explanation:
Find the volume of the cone that sits on top of the cylinder
Answer:
Vc = (π/3)✓17 ≈ 4.12 ft³
Step-by-step explanation:
h = ✓(4²+1²)
h = ✓17
V = πr²h/3
V = π(1)²✓17/3
V = (π/3)✓17 ≈ 4.12
solve 2x = 1/32
1/5
5
-5
64 Books on 4 Shelves how maany books per Shelf?
Answer:
256
Step-by-step explanation:
Answer:
16 is the answer because 64/4 is 16 so 16*4 is 64 meaning that there are 16 books on each shelf
Step-by-step explanation:
hope this helped
The midpoints of the hexagon are connected to form another hexagon, this pattern continues indefinitely. If the area of the 99th hexagon formed by this pattern is 1, what is the area of the original hexagon?
Answer:
(4/3)⁹⁸ units²Step-by-step explanation:
Regular hexagons have a property that cutting off the triangles obtained by joining the midpoints of consecutive sides leaves a hexagon of 3/4 of the area.This means the area of each hexagon inside out starting from the one with unit area is 4/3 of the previous one.
99 ⇒ 198 ⇒ 1*4/397 ⇒ 1*(4/3)²...1 ⇒ (4/3)⁹⁹⁻¹The original hexagon has the area of:
(4/3)⁹⁸ units²Answer:
(4/3)^98units.
Step-by-step explanation:
By hexagonal property in which cut off the triangles obtained be the joining of m.p of adjacent sides which left 3/4 of total area.
Sofia is 4 years younger than Mark. David is 7 years older than Mark. How old will Sofia be when David is 30 years old? please answer
Answer:
Sofia will be 19 years old
Step-by-step explanation:
First:
What know that David is 30 right now.
David=30
We also know that David is 7 years older than Mark, meaning that David-7=Mark
30-7=23 -Mark
And last we know that Mark is 4 years older than Sofia So we would do 23-4 to get Sofia age,
23-4=19 -Sofia
So in conclusion...
SOFIA: 19
MARK: 23
DAVID: 30
The sum of two numbers is 3472.
one of the numbers is 1968.
find the other number
Answer:
1504
Step-by-step explanation:
3472-1968=1504
CHECK
1968+1504=3472
These tables show equivalent ratios. The value missing in each table is replaced with X. Choose ALL tables in which 12 replaces X.
(please answer)
POINT:15
Answer:
a
Step-by-step explanation:
Answer:a and b
Step-by-step explanation:
11 times the sum of 8 and 14, divided by 5
Answer:
See below, please!
Step-by-step explanation:
[tex]\frac{11(8+14)}{5}[/tex]. Use PEMDAS. Sum of 8 and 14 is 22, multiply that by 11, and then divide by 5. Your answer is 48.4.
Hope this helped!
Simplify lol (5) 9+ lo (5) 21-lo (5) 7
Given:
Consider the given expression is
[tex]\log_59+\log_521-\log_57[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\log_59+\log_521-\log_57[/tex]
It can be written as
[tex]=\log_5(9\times 21)-\log_57[/tex] [tex][\because \log_ax+\log_ay=log_a(xy)][/tex]
[tex]=\log_5\dfrac{9\times 21}{7}[/tex] [tex][\because \log_ax-\log_ay=log_a\dfrac{x}{y}][/tex]
[tex]=\log_5(9\times 3)[/tex]
[tex]=\log_527[/tex]
Therefore, the simplified form of the given expression is [tex]\log_527[/tex].
HELP please my friend needs help with his MATH homework, see picture for problem TY :)
What number should go into the blank so that the two expressions are equivalent to each other?
4(4b + 17c) = __b + 68c
Find the measure of 46.
70*110°
46
o
66 = [?]
Answer:
angle 6 is equal to 70° vertically opposite angle on the same side of transeversal.
A box of corn flakes has a square base with sides that measure 7 centimeters in length and the height of the box is 20 centimeters. If V represents the volume of the box, what is the maximum volume of corn flakes this box can hold?
A. 900
B. 925
C. 950
D. 980
Answer:B
Step-by-step explanation:
Answer:
its B
Step-by-step explanation:
What is the equation of the blue line?
Answer:
y = (1/2)x + 2
Step-by-step explanation:
it is a straight line so it will be in the form of y = mx + c
m = gradient, c = y intercept
Reading from graph it cuts the y-axis at 2,
so c = 2
to find gradient we can pick any 2 points on the line,
e.g (0,2) and (10,7)
gradient = (y1 - y2) / (x1 - x2) = (7 - 2) / (10 - 0)
= 1/2
so the equation is y = (1/2)x + 2
Using slope intercept formula, the equation of the blue line
y = (1/2)x + 2.
What is slope intercept?The slope intercept form is one of the form to represent" equation of the straight iine".
According to the question,
The graph intercept the y-axis at 2.
Slope intercept formula, y = mx + c where m = slope of the line, c = y- intercept of the line, x, y as variable.
From given, y-intercept, c = 2.
To find slope of the line take any two points on the line (0,2) and (10,7).
Formula to find slope of the line m = (y₁ -y₂)/(x₁ - x₂).
m = (2-7)/(0-10)= [tex]\frac{1}{2}[/tex]
Hence, the equation of the blue line y = (1/2)x + 2.
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A rectangular prism has a width of x^2 inches, A length of xy^2 inches, and a height of y^2 inches. Which expression represents the volume in cubic inches of this rectangular prism
Answer:
[tex]Volume = x^3y^4[/tex]
Step-by-step explanation:
Given
[tex]Length = xy^2[/tex]
[tex]Height = y^2[/tex]
[tex]Width = x^2[/tex]
Required
Determine the volume
The volume is calculated as:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = xy^2 * x^2 * y^2[/tex]
This gives:
[tex]Volume = x^3y^4[/tex]
Find the indicated function values for the following function:
f(x) = 2x² - 3x + 4
7. f(-2) =
a. 18
b. 2
C. 6
d. none of the above
Answer:
7. A
8. C
Step-by-step explanation:
7. 2(-2)^2 - 3(-2) + 4 = 18 (A.)
8. 2(3a)^2 - 3(3a) + 4 = C
X^(2)+8=5 exponent of variable in this equation is
Answer:
The exponent of the variable of this equation is 2.
And here's the solution to the equation:
[tex]x^{2} +8=5[/tex]
[tex]x^{2} = 5 - 8[/tex]
[tex]x^{2} = -3[/tex]
[tex]x[/tex] ∉ R
What is the value of x4+0.5y3when x=2 and y=4?
Answer:
14
Step-by-step explanation:
12. 14.5% of 90 is n. The value of n is 15.
Answer:14.5% of 19 is 13.05, so the value of n would actually be 13.05
Use distributive property to remove the parenthesis for:
(1-y+x)(-6)
Answer:
Step-by-step explanation:
Multiply -6 to the first bracket so it would be
-6+6y-6x This is the answer
PLS HELP!!! What is the total surface area of the square pyramid whose net is shown below?
400 in^3
1200 in^3
800 in^3
1600 in^3
Answer:
(20×20)+(2×20×30)
400+1200
1600inches^2
Answer:
1600 in^2
Step-by-step explanation:
We only have to add the areas of one square in the centre and 4 surrounding triangles.
area of the square=20×20=400 in^2
area of one triangle=1/2×20×30=300 in^2
area of four triangles=4×300=1200 in^2
So, total surface area of the square pyramid=400+1200=1600 in^2
*The units given should be in^2.
1 A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10
centimeters. Which measurement is closest to the total surface area of the can in
square centimeters?
Answer:
radius r = 3 cm
height h = 10 cm
volume V = 282.743339 cm^3
lateral surface area L = 188.495559 cm^2
top surface area T = 28.2743339 cm^2
base surface area B = 28.2743339 cm^2
total surface area A = 245.044227 cm^2
In Terms of Pi π
volume V = 90 π cm3
lateral surface area L = 60 π cm^2
top surface area T = 9 π cm^2
base surface area B = 9 π cm^2
total surface area A = 78 π cm^2
Step-by-step explanation:
Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr2h
Calculate the lateral surface area of a cylinder (just the curved outside)**:
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr2
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
Agenda: r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
The value of Surface Area of the cylinder is 245.04 cm².
What is Surface Area of a shape ?Surface area is the amount of space covering the outside of a three-dimensional shape.
It is given that the cylinder has
radius r = 3 cm
height h = 10 cm
volume V of the cylinder = πr²h = 282.74 cm³
the lateral surface area of a cylinder
L = 2πrh
lateral surface area L = 188.495559 cm²
the top and bottom surface area of a cylinder (2 circles):
T = B = πr²
top surface area T = 28.2743339 cm²
base surface area B = 28.2743339 cm²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
total surface area A = 245.044227 cm²
total surface area A = 78 π cm²
Therefore the value of Surface Area of the cylinder is 245.04 cm².
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