Help please and thank you: The graph of f x = x2 − 2x − 3 is shown. Which of these describes the effect changing f x to f −2x will have on the graph?
Answers
Answer:
Option (C).
Step-by-step explanation:
Graphed function is,
f(x) = x² - 2x - 3
= x² - 2x + 1 - 1 - 3
= (x² - 2x + 1) - 4
= (x - 1)² - 4
f(-2x) = (-2x)² - 2(-2x) - 3
= 4x² + 4x - 3
= 4(x² + x) - 3
= 4[x² + 2(0.5)x + (0.5)²- (0.5)²] -3
= 4(x + 0.5)² - 1 - 3
= 4(x + 0.5)² - 4
= 4[(x - 1) + 1.5]² - 4
Therefore, parent function 'f' will be a horizontal shrink by 4 units and shifted 1.5 units to the left.
Option (C) will be the answer.
Related Questions
If f(x) = 4^x - 8 and g(x) = 5x + 6, find (f - g)(x).
A. (f-g)(x) = 4^x +5x -2
B. (f-g)(x) = -4^x +5x +14
C. (f-g)(x) = 4^x -5x -14
D. (f-g)(x) = -x -14
Answers
Answer:
C. 4^x - 5x - 14.
Step-by-step explanation:
(f - g) x
= 4^x - 8 - (5x + 6)
= 4^x - 5x - 8 - 6
= 4^x - 5x - 14.
x+x/7 + 1/11 (x + x/7) = 60
Answers
x
x
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x
=
385
8
x
=
385
8
Decimal Form:
x
=
48.125
x
=
48.125
Mixed Number Form:
x
=
48
1
8
x
=
48
1
8
Answer:
X= 48.125
Step-by-step explanation:
A hemisphere is exactly one-half of a sphere. Find the volume of a hemisphere where the radius is 6 m. (Round to the nearest tenth)
Answers
Answer:
144π or 452.4
Step-by-step explanation:
Volume of a Sphere Formula: V = 4/3πr³
Step 1: Plug in 6 for r
V = 4/3π(6)³
V = 288π
Step 2: Divide by 2
V = 288π/2
V = 144π
The graphs show the distances traveled by two people walking at constant rates. Drag to the table the unit rate that matches each graph.
Answers
Answer:
from left: 220, 177
Step-by-step explanation:
unit rate = first derivative = slope
first graph;
slope = (880-660)/(4-3) = 220 ft/min
2nd graph;
slope = (177-0)/(1-0) = 177 ft/min
if you graph the system of Inequalities given below, which points would lie in the solution set? Select all the correct answers.
x-y2-4
2x-ys 5
2y+ x>1
Answers
Answer:
(-1,3)
Step-by-step explanation:
we need to replace the values x and y for every point and see if the point satisfies all the inequations.
Point (-2,3):
x - y ≥ -4
-2 - 3 ≥ -4
-5 ≥ -4
Then, -5 is not greater than -4, so that point is not a solution.
Point (-1,3):
x - y ≥ 4 2x - y ≤ 5 2y + x > 1
-1 - 3 ≥ 4 2(-1) - 3 ≤ 5 2(3) + (-1) > 1
-4 ≥ -4 -5 ≤ 5 5 > 1
Then, (-1,3) is a solution
Point (0,0):
x - y ≥ 4 2x - y ≤ 5 2y + x > 1
0 - 0 ≥ 4 2(0) - 0 ≤ 5 2(0) + (0) > 1
0 ≥ -4 0 ≤ 5 0 > 1
Then, 0 is not greater than 1, so that point is not a solution.
Point (2,-2):
x - y ≥ 4 2x - y ≤ 5
2 - (-2) ≥ 4 2(2) - (-2) ≤ 5
4 ≥ -4 6 ≤ 5
Then, 5 is not greater than 6, so that point is not a solution.
Find m
A. 46
B. 23
C. 69
D. 167
Answers
Answer:
69, nice
Step-by-step explanation:
118-49=69
Answer:
i think its 69, but i think im wrong
Step-by-step explanation:
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Answers
Answer:
D is the answer
Step-by-step explanation:
because it has high probability of success 70 %
so
8 of 8
Find the product of 505 and 68
Answers
Answer:
Step-by-step explanation:
505 × 68 = 34340
Answer:
34340
Step-by-step explanation:
Plz mark me brainliest!
******BRAINLIEST IF ANSWERED****** Which equation can be used to find the measure of angle BAC? * inverse tan(5/12) inverse cos(5/13) inverse sin(12/5) inverse tan(12/13)
Answers
Answer:
[tex]cos^{-1}(\frac{5}{13} )[/tex]
Step-by-step explanation:
We can see that x is at ∠A.
To find x:
cosx° = 5/13
x = cos^-1(5/13)
sinx° = 12/13
x = sin^-1(12/13)
tanx° = 12/5
x = tan^-1(12/5)
Out of our answer choices, the only one that fits is the inverse cos(5/13).
Answer:
inverse cos 5/13
Step-by-step explanation:
i took the quiz
What is the order of this from least to greatest. 4.37, 5.844, 5 21/25,117/20
Answers
Problem: \ The yellow portion of a circle represents 35%: How many degrees are in the angle formed by the edges of the yellow region?
Answers
Answer:
126°
Step-by-step explanation:
Given that the yellow portion covers 35% of the circle, the degree formed by its edges can be calculated as follows:
The degree of a full circle = 360°
To find the degree formed by the edges of the yellow region, we would calculate 35% of 360°:
[tex] \frac{35}{100}*360 [/tex]
[tex] \frac{35*360}{100} [/tex]
[tex] \frac{12600}{100} [/tex]
[tex] \frac{126}{1} [/tex]
[tex] 126 [/tex]
126° is formed by the edges of the yellow region.
PLEASE HELP ME WITH THESE QUESTIONS
Answers
Answer:
hope its wht u require....
please help i was struggling
Answers
Answer:
slope is 2 y intercept 7
Step-by-step explanation:
The y intercept is the value when x =0
(0,7) means the y intercept is 7
We can find the slope using
m = (y2-y1)/(x2-x1)
m = ( 11-9)/(2-1)
= 2/1
= 2
Create a rectangle around the parallelogram. The dimensions of this rectangle are .
Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is square units.
Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is square units.
Answers
Answer:
First drop down: 11 by 20
Second drop down: 110
Third drop down: 110
The new coordinates of the rectangle will be A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) .
What is a parallelogram?A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.
Given, a parallelogram with the dimension of A(-3, -1), B(7, 9), C(8, -1), and D(-2, -11)
The rectangle around the parallelogram will cover the parallelogram with horizontal and vertical lines,
Thus the new coordinates of the rectangle will be:
A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) as shown in the figure,
Learn more about parallelograms here:
https://brainly.com/question/29147156
#SPJ3
Complete question:
Find the slope of the line that passes through:
(-2,-5) and (8, -11)
Answers
Answer:
Slope= [tex]\frac{-3}{5}[/tex]
Step-by-step explanation:
(-2 , -5) ; (8,-11)
[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-11-[-5]}{8-[-2]}\\\\=\frac{-11+5}{8+2}\\\\=\frac{-6}{10}\\\\=\frac{-3}{5}[/tex]
What is the area of triangle qrs?
Answers
Answer:
area=HbB/2
hope you understand
Which of the following is the sum of the slopes of the line 3x+y=1 and a line perpendicular to this line? A 0 B 13 C −83 D −6
Answers
Answer:
-8/3
Step-by-step explanation:
First find the slope of the line
3x+y = 1
Solve for y
y = -3x+1
This is in slope intercept form
y = mx+b where m is the slope
The slope is -3
The slopes of perpendicular lines multiply to -1
m* -3 = -1
m = 1/3
The line perpendicular has a slope of 1 / (3) = 1/3
The sum is -3 + 1/3
-9/2 + 1/3 = -8/3
Find m∠V. Struggling in geometry! Help plz :/
Answers
Answer:
16 degrees
Step-by-step explanation:
74 + 90 = 164
180-164 = 16
Both triangles are congruent so that means Angle T is 74 degrees. There is also a right angle which means there is 90 degrees in that angle. A triangle always has 180 degrees so add 74+90 which is 164. Then subtract 180-164=16
Good luck :)
The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph, photo above
Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph (6 points)
Answers
Answer:
a. The graph is non-linear. If the graph was linear, it would be one continuous straight line.
b. The graph is increasing from x = 0 to x = 2, constant at x = 2 to x = 3, and decreasing from x = 3 to x = 5. So, [0, 2) is increasing, [2, 3) is constant, and [3, 5] is decreasing.
c. The ant starts to travel 6 cm away from the nest for 2 seconds. Between 2 to 3 seconds, it stays the same distance away. Then, after 3 seconds, it comes back to the base. At 5 seconds, it has returned.
Step-by-step explanation:
Answer:
Part A: it is linear because it is not curving and it consists of straight lines.
Part B: in side A it is increasing because it has a positive slope. In side b it is constant because the slope is 0 since it is straight. Finally, side C is decreasing because the slope is negative.
Part C: during side A the ant is crawling out of the hole in 2 seconds. After that, the ant stops for 2 more seconds as shown in side B. Then, he crawls back into the hole as shown by the decrease in distance due to the slope.
Step-by-step explanation:
what expressions are equivalent to 4d+6+2d
Answers
Answer:
6d+6 is the correct answer
Step-by-step explanation:
Nadine sold two kinds of tickets to her class play. Student tickets cost $3 each, and adult tickets cost $5.50 each. If Nadine sold a total of 25 tickets for $90, how many student tickets did she sell?
Answers
Answer:
19 tickets
Step-by-step explanation:
Nadine sold two kinds of tickets to her class play
The student tickets cost $3
Adult tickets cost $5.50
Nadine sold a total of 25 tickets for $90
We are required to find the number of students tickets that were sold
Let x represent the number of tickets sold to students
Let y represent the number of tickets sold to adults
x + y= 25
x= 25-y..........equation 1
Since the total cost of the ticket is $90
3x + 5.50y=90..........equation 2
Substitute 25-y for x in equation 2
3(25-y) + 5.50y= 90
75-3y+5.50y= 90
75+2.5y= 90
Collect the like terms
2.5y= 90-75
2.5y=15
Divide both sides by 2.5
2.5y/2.5=15/2.5
y= 6
Substitute 6 for y in equation 1
x= 25-y
x= 25-6
x= 19
Hence Nadine sold 19 student tickets
To steam rice, Paul uses m cups of water for every p
cups of rice. In terms of m and p, how many cups of
water are needed to steam p + 2 cups of rice?
Answers
Answer:
[tex]\frac{(p + 2)m}{p}[/tex]
Step-by-step explanation:
Given
m cups of water = p cups of rice
Required
Cups of water required for p + 2 cups of rice
The question shows a direct proportion between cups of rice and cups of water.
So, the first step is to get the proportionality constant (k)
This is calculated using the following expression;
[tex]m = k * p[/tex]
Where k represents cups of water and p represents cups of rice
Make k the subject of formula
[tex]k = \frac{m}{p}[/tex]
Let x represents cups of water when cups of rice becomes p + 2;
k becomes:
[tex]k = \frac{x}{p + 2}[/tex]
Equate both expressions of k; to give
[tex]\frac{m}{p} = \frac{x}{p + 2}[/tex]
Multiply both sides by p + 2
[tex](p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}[/tex]
[tex](p + 2) * \frac{m}{p} =x[/tex]
[tex]x = (p + 2) * \frac{m}{p}[/tex]
[tex]x = \frac{(p + 2)m}{p}[/tex]
Hence, the expression that represents the cups of water needed is [tex]\frac{(p + 2)m}{p}[/tex]
Which set of steps shows the solution to the equation 3y = -9?
Oy=-9-3; y = 6
Oy=-9 = 3; y = -3
Oy= -9 +(-3); y = 3
Oy = -9 -(-3); y = -6
Answers
Answer:
see below
Step-by-step explanation:
3y = -9
Divide each side by 3
3y/3 = -9/3
y = -3
translate into an algebraic expression: x is increased by 50% and decreased by 30% . What is the result?
Answers
Answer:
x+4/5x
Step-by-step explanation:
x is increased by 80% 0f it self
80%of x= 4/5x
... x+4/5x
The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
Answers
The answer is 9.8 m/s2
Answer:
B. 9.8 m/s^2
Step-by-step explanation:
I got it correct on edg2020
wats the domain and range of [1,3] , [-2,7] ,[ 3 ,-3 ], [4,5] , [1,-3]
Answers
Answer:
Domain={-2,1,3,4}Range={-3,3,5,7}Explanation:
Domain and Range:Let R be a relation from A to B.Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.
Hope this helps...
Good luck on your assignment..
What is the equivalent radian measure of 540°?
1
radians
3
radians
radians
3
3x radians
DONE
Answers
Answer: 3π
I don't see 3π in your answer choices, but I'm assuming the "3x" is supposed to be 3π.
Step-by-step explanation:
To convert from degrees to radians, you multiply by π/180.
[tex]540*\frac{\pi }{180} =3\pi[/tex]
What is 45% as a fraction in simplest form
Answers
⇒Answer:
[tex]\frac{9}{20}[/tex]
⇒Step-by-step explanation:
Well 45% is saying it is 45% out of 100,
So we can make the following fraction
45/100
Then we simplify by dividing 45 and 100 by 5
Hence, the answer is [tex]\frac{9}{20}[/tex]
Can someone help me with 1,2,3 I don’t know how to do this
Answers
Answer:
Step-by-step explanation:
1: 0.75
2: 0.166
3: 0.466
4: 0.66
Sorry if anyone of these are wrong
Answer:
3/4=0.75
1/6=0.16666667
7/15=0.46666667
13/20=0.65
Step-by-step explanation:
You can use the 'division house' to get the answer. The denominator is always out, and the numerator always inside.
Hope this helps ;) ❤❤❤
A piece of aluminum with a mass of 100.0 g has a temperature of 20.0°C. It absorbs 1100 J of heat energy. What is the final temperature of the metal?
Answers
Answer:
31.81°CStep-by-step explanation:
Using the formula for calculating heat energy H = mcΔT
m = mass of the aluminum (in g/kg)
c = specific heat capacity of aluminum
ΔT = change in temperature = T - Ti (in °C)
T is the final temperature
Ti is the initial temperature
Given m = 100.0g, c = 0.931096J/g °C, Ti = 20°C, H = 1100J T = ?
Substituting the given values into the formula;
1100 = 100*0.931096 (T - 20)
1100 = 93.1096T - 1862.192
93.1096 T = 1100+1862.192
93.1096 T = 2962.192
T = 2962.192/93.1096
T = 31.81°C
The final temperature of the metal is 31.81°C
Answer:
31.81c
Step-by-step explanation:
1100 = 100*0.931096 (T - 20)
1100 = 93.1096T - 1862.192
93.1096 T = 1100+1862.192
93.1096 T = 2962.192
T = 2962.192/93.1096
T = 31.81°C