The parent exponential function of f(x)=2x has been transformed in the following ways:
-a vertical compression by a scale factor of 13
-a vertical translation of 3 units up
-and a horizontal translation of 3 units to the left
Answers
Answer:
The resulting expression is [tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]. We include the graph of both functions, the red line represents the parent exponential function, whereas the blue line is for the resulting function.
Step-by-step explanation:
Statement is incomplete. The question is missing. We infer that question is: What is the resulting expression? Let [tex]f(x) = 2^{x}[/tex], each operation is defined below:
Vertical compression
[tex]g(x) = k\cdot f(x)[/tex], where [tex]0 < k < 1[/tex]. (1)
Vertical translation upwards
[tex]g(x) = f(x) + c[/tex], where [tex]c > 0[/tex]. (2)
Horizontal translation leftwards
[tex]g(x) = f(x+b)[/tex], [tex]b > 0[/tex]. (3)
Now, we proceed to transform the parent exponential function:
(i) A vertical compression by a scale factor of 13 ([tex]k = \frac{1}{13}[/tex])
[tex]f'(x) = \frac{1}{13}\cdot 2^{x}[/tex]
(ii) Vertical translation of 3 units up
[tex]f'' (x) = \frac{1}{13}\cdot 2^{x} + 3[/tex]
(iii) Horizontal translation of 3 units to the left
[tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]
The resulting expression is [tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]. We include the graph of both functions, the red line represents the parent exponential function, whereas the blue line is for the resulting function.
Related Questions
Find the area of the following rectangle.
length = 12 ft.
width = 8 ft.
Answers
Answer:
96 ft
Step-by-step explanation:
A= bh
A = 12 x 8
A = 96
Answer:
96 ft^2
Step-by-step explanation:
12*8
The doctor has ordered 250 mL of 0.45% NS to infuse in a ½ hour. What will be the flow rate?
Answers
Answer:
im stuck too
Step-by-step explanation:
In which direction does the parabola defined by the equation x=-1/3y^2 -3 open
Answers
Answer:
a < 0 so it opens facing left
Step-by-step explanation:
x=-1/3y^2 -3
This is either a left or right opening parabola since it is the for
x = ay^2
a < 0 so it opens facing left
Solve for x. ILL GIVE BRAINLIEST
Answers
Answer:
12
Step-by-step explanation:
dude u posted the same question twice, read my other trash response kek
Identify the situation that each graph could represent
Time
A. the distance you are from home if you walk to your friend's house, stay there for five minutes, and then walk to school
B. the volume of water in a pool that is being drained at a rate of 50 gallons per minute
C. the height of a ball bounced on the ground
D. the amount of charge left in a cell phone if it is fully charged, then used for a while, turned off for a while, and then used some more
Answers
Answer:
du answer is a
Step-by-step explanation:
hope this helps
have a nice day/night
mark brainiest please
Answer:
Personally, I think it is A or D because the graph shows change and a big change
Step-by-step explanation:
Tbh I go more with A
ast week, a coral reef grew 20.4mm taller. How much did it grow in meters
Answers
Answer:
0.0204 meters
Step-by-step explanation:
Answer:
0.0204
Step-by-step explanation:
1 metre=1000 metres
x = 20.4
cross mutiply
20.4/1000
0.0204
Find the surface area of the shape below. Answer in NUMBERS only, NO units. Round your answer to the nearest tenth.
Answers
Step-by-step explanation:
In the given figure, its a cube with edge 7.7 inches.
Surface area = 6a²
Where ‘a’ denotes the edge
→ 6(7.7)²
→ 6 × 59.29
→ 355.74
Rounding nearest tenth :
→ 355.8
ezzzzzzzzzzzzzzy points
How are the solutions to the inequality 2 x > 10 different from the solutions to 2 x ≥ 10
Answers
Answer:
Just the sign!
Step-by-step explanation:
2x > 10 would be x > 5
2x ≥ 10 would be x ≥ 5
Solve the qustion below please
Answers
Answer:
angle BNU = 60 degrees
Step-by-step explanation:
3x + 8 = 44
3x = 36
x = 12
5x = 60
I’ve been stuck on this for like 20 mins now please help. What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
Answers
Answer:x= -5+8 √2,x= -5-8 √2
For the intermediate problem: X2-4x+10=4x+10
Step-by-step explanation:
3. Classify the number: -4
Answers
Answer:
Aight.
Rational, Real, Integer, Negative
Answer:
It is a rational, real, negative number, and an integer.
Hope that helps!
Step-by-step explanation:
A distribution of values is normal with a mean of 200 and a standard deviation of 15. From this distribution, you are drawing samples of size 18.
Find the interval containing the middle-most 70% of sample means:
Answers
Answer:
70÷100×200=140
Step-by-step explanation:
Because 70 is the percentage of 140
I need help I don’t get it !!
Answers
Solution : there can’t be a slope created through those numbers given
mrs jenks classroom needs new tables and chairs. 2 times as many chairs as tables were ordered. if there where 56 chairs ordered how many more vhairs than tables were ordered
Answers
Answer:
3136
Step-by-step explanation:
56x56=3136
Mr Jenks class need new tables and chairs 2 times as many chairs as tables were ordered.
2 times
[tex]56x56=3136[/tex]
1/2(x+2)+7=3x+(-32)
explained pls
Answers
Answer:
x is equal to 16
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply by 1
Subtract 7 from both sides of the equation
Simplify it
Subtract 3 from both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Simplify
Subtract 2 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify!
That's it!
Find m
A. 110°
B. 70°
C. 250°
D. 55°
Answers
Answer:
A:100°
Step-by-step explanation:
BECAUSE IS THE SAME
Same side interior angles are equal
Constant of proportionality of x=9 and y=4
Answers
Answer: umm explain your question more better so we can understand it
Step-by-step explanation:
What year is 7 years after 2003
Answers
Answer: 2010
Step-by-step explanation:
2003+7=2010
A ladder leans against a wall 6 ft above the ground. The base of the ladder is 3 ft from the wall. How long is the ladder?
Answers
Answer:
6.71
Step-by-step explanation:
Hopefully this helps! :)
Chelsea writes the expression (n + 1)(n + 2) + 2n for the number of circles used to make the nth figure in the pattern shown.
Drag statements to the table to explain what each term in this expression tells you
about the figure
Answers
Answer:
(n + 1)(n + 2): Number of circles that make the center group of circles
2n: Number of circles on both sides of the center group
Step-by-step explanation:
It makes sense
It was right for me
Jose deposits S300 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 3 years?
Answers
Answer:
$54
Step-by-step explanation:
300 times 0.06 times 3
0.06 times 3 = 0.18
300 times 0.18 = 54
The simple interest is $54
Answer:
$54
Step-by-step explanation:
A = P(1 + rt)
300(1 + (0.06 × 3)) = 354
friends?
.............................
Answers
Write an expression for "11 more than a."
I
Answers
Answer:
11 + a
OR
a + 11
Hope that helps!
Step-by-step explanation:
Answer:
a + 11
Step-by-step explanation:
Hope this helps!
I need help with this I’ll give 20 extra points if answers correctly
Answers
Answer:
I think its C ( the 3rd one because thats what photo math said
Step-by-step explanation:
Brainliest plus those 20 points you said you would give?
what is the equation to the point slope form?
Answers
Answer:
The point slope form of a line is
y-y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
Step-by-step explanation:
The standard form for a line is
Ax + By +C =0
The slope intercept form for a line is
y = mx+b where m is the slope and b is the y intercept
The point slope form of a line is
y-y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
A 2-gallon bottle of bleach costs $14.24. What is the price per pint?
Answers
Answer:
16 divided by 14.24 = 1.12359550562
If you round it would be: $1.12
Answer:
$1.12
Step-by-step explanation:
there are eight pints in a gallon, and since theres two gallons, that mean theres 16 pints. 16 divided by 14.24 is 1.12
Figures ABCD and PQRS are parallelogram find x and y (lengths are in metres) Part i and ii.
Answers
Step-by-step explanation:
For 1st question
In a parm ABCD
5x - 4 = 16 ( being opposite sides of parallelogram)
5x = 16 + 4
5x = 20
x = 20 / 5
x = 4
3y + 1 = 22 (being opposite sides of parallelogram)
3y = 22 -1
3y = 21
y = 21 / 3
y = 7
For second question
In parm PQRS
Diagonals bisect each other so
x + 4 = 12
x = 12 - 4
x = 8
x + y = 32
8 + y = 32
y = 32 - 8
y = 24
Hope it will help :)❤
Write your solution in the space provided.
3 points
4X - 3<9
+
4
0
1
3
4
5
6
7
Your answer
3 point
Answers
Answer: can somebody help me fill up the paperwork in my account
Step-by-step explanation:
Pls help!!!! Cmon I need help!
Answers
Answer:
A) 0.39
Step-by-step explanation:
A=[tex]\pi[/tex]r²=0.38925589615
Need help with quadrilaterals