What feature or features of the parabolic parent function f(x)=x^2 would change if f(x) was replaced with 2f(x-4)? Help please:)
Answers
Answer:
The y-intercept of the function and the vertex of the function would change. (III and IV) This answer doesn't seem to be in the answer list (but there is proof for the answers below), though.
Step-by-step explanation:
(Notice that [tex]2f(x-4) = 2(x-4)^2.[/tex])
The domain of the function won't change because quadratics can all take all numbers as their input (which, by definition, is the domain of a function).
The range of the function won't change either, because we have just moved the function with 4 to the right (by substituting [tex]x[/tex] with [tex]x-4[/tex]) and multiplied the graph with respect to the y-axis by 2. The range will stay as all non-negative real numbers.
The y-intercept of the function will change, because for [tex]f(x)=x^2[/tex] it is [tex]y=0[/tex], while for [tex]y=2(x-4)^2[/tex] substituting [tex]x=0[/tex] doesn't give [tex]y=0[/tex]. (Instead, it gives [tex]y=32[/tex].)
The vertex of the function will change, because we have moved the function with 4 to the right and multiplied the graph with respect to the y-axis by 2: the vertex will have at the very least moved to the right.
Related Questions
Line m passes through points (3, 15) and (10, 9). Line n passes through points (2, 9) and (9, 3). Are line m and line n parallel or perpendicular?
Answers
Answer:
The two lines 'm' and 'n' are parallel
Step-by-step explanation:
Explanation
Given that the line 'm' points (3,15) and (10,9)
The slope of the line 'm'
= [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} } = \frac{9-15}{10-3} = \frac{-6}{7}[/tex]
Given that the line 'n' points (2,9) and (9,3)
The slope of the line 'n'
= [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} } = \frac{3-9}{9-2} = \frac{-6}{7}[/tex]
The slope of line 'm' = The slope of line 'n'
Both slopes of the lines are equal
∴ The two lines are parallel
The point (8, –8) is located in which quadrant?
A coordinate plane.
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answers
Answer:
Quadrant ll
Step-by-step explanation:
Answer:
the answer is ll
Step-by-step explanation. \
its where it is on the graph
Question 8 (3 points)
Find the missing angle.
degrees
(Fill in the blank) PLEASE HURRY ILL GIVE BRAINLIEST
Answers
[tex]360 - 140 - 62 - 85[/tex]
[tex] = 73 \: degrees[/tex]
the sum of the angles in a quadrilateral is 360° so just subtract the angles you have with the total to find the missing angle.
Answer:
73°
Step-by-step explanation:
The angles add to 360 hope this helps
Find the value of X in the figure shown.
Answers
B. 22
Answer:
22
Step-by-step explanation:
180°-90°-68°=22
brainliest to the correct answer
Answers
Answer:
Step-by-step explanation:
B=90-27=63 degrees
AC=12/(tan27)=23.6
AB=12/(sin27)=26.4
what is the volume of Triangular Prism
8cm
8.9cm
15cm
8cm
Answers
Answer:
8544
Step-by-step explanation:
I multiplied them all 8 x 8.9 x 15 x 8 = 8544
Geometric Sequences Question.
Answers
the common RATIO is 4
Step-by-step explanation:
sana nakatulong ito
yooo wsp could I pls get help with my math?? tysm
which of the following options could represent a possible set of interior angles of a triangle?
1) 100°, 130°, and 130°
2) 25°, 3°, and 35°
3) 45°, 105°, and 120°
4) 30°, 70°, and 80°
Answers
Answer:
number 4 because a triangle is only concidered a triangle when it has an area of 180 degrees
Step-by-step explanation:
What is an altitude of a triangle
Answers
Answer:
An altitude of a triangle is a segment from a vertex of the triangle, perpendicular to the side opposite that vertex of the triangle.
Step-by-step explanation:
PLZ help i'll give brainliest.
Answers
Answer:
3375
Step-by-step explanation:
15 ⋅ 15 ⋅ 15
Multiply 15 by 15 .
225 ⋅ 15
Multiply 225 by 15 .
Answer:
Volume=(length)^3
V= (15×15×15)mm^3 = 3375mm^3
Molly is getting balloons for her father's birthday party. She wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Molly wants to get 67 balloons, how many yards of string will she need?
Answers
Suppose you deposit $1000 in an account earning 6% simple interest each year. How much would you earn in interest after 6 months?
Answers
I will mark you brainiest if you can answer this
Answers
Answer:
D
Step-by-step explanation:
pls help me almost due
Answers
Answer: disagree its backwards
Step-by-step explanation: the x intercept always comes first so its actually (-4,2)
Answer:
You would not agree with the studentStep-by-step explanation:
Now if you look at this wrong, the student would be correct. The student made a common mistake that many make. The mistake they made was they put the X and Y backwards when making the point. All they have to do is make sure they put the X first then the Y. What they should have put is (-4,2). For any other point, you would replace X and Y in the points. (X,Y)
Identifying the slope, y-intercept and x- intercept of each
Answers
Answer:
slope= -3
y-intercept= 6
Step-by-step explanation:
1. Approach
To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.
2.Solve for the slope
The formula to find the slope of a line is;
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where (m) is the variable used to represent the slope.
Use the first two given points, and solve;
(1, 3), (2, 0)
Substitute in,
[tex]\frac{(0)-(3)}{(2)-(1)}[/tex]
Simplify;
[tex]\frac{-3}{1}\\\\=-3[/tex]
3. Put equation into slope-intercept form
The equation of a line in slope-intercept form is;
[tex]y = mx + b[/tex]
Where (m) is the slope, and (b) is the y-intercept.
Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).
[tex]y=-3x+b[/tex]
Substitute in point (3, -3)
[tex]-3=-3(3)+b\\-3 = -9 + b\\6 = b[/tex]
how do i find the median in this question.
Answers
eu9ewg0u8wei08
Step-by-step explanation:
jiwfoiqwfqeoufhqeio0hfqifh0qoio
What is the slope of the line that passes through the points (-2,7) and (2, -5)?
Write your answer in simplest form.
Answers
Answer:
m=-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
Slope = Rise/Run
We can find the amount between 7 and -5 as 12, and -2 and 2 as 4.
Then we can do rise/run and 12/4
Which would divide into 3.
ANd because we can see the x increases as the y decreases, we can find that it's a negative slope.
-3
which value of y makes the inqeuality 3y^2+2(y-5)>8 true
Answers
3y^2+3y-18>0
3y^2+9y-6y-18>0
3y(y+3)-6(y+3)>0
(3y-6)(y+3)>0
Thus, y=2 or -3 makes the given inequality true.
What is a percent? Give the definition using full sentences.
Answers
In mathematics, a percentage is a number or ratio expressed as a fraction of 100. A common symbol for a percentage is this symbol "%." Some abbreviations for it can be, "pct," or "pc."
Remember though that a percentage had no unit of measurement as it is a dimensions number.
Choose the two expressions that are equivalent to 5. 75 ÷ 1. 15
A: 575 ÷115
B: 5,750 ÷ 1,150
C: 5,750 ÷ 115
D: 575 ÷ 1,150
Answers
Answer:
A and B, but I’m gonna explain it the best I can too.
Step-by-step explanation:
5.75 divided by 1.15 is the same as answer A, since all you are doing is taking away the periods, making it whole numbers.
Again 5.75 divided by 1.15 is the same as B as well, Since it is the same just without the periods and an added zero at the end of each.
This Is so that they are both all equivalent by being whole numbers, but whatever you do to one numbers in the expression that you think is the answer you have to do to the other numbers in the expression
they have to add up completely the same.
15 is no more than the difference of a number x and 2 as an inequality?
Answers
Answer:
Step-by-step explanation:
15 ≤ x-2
At a restaraunt, crabs are sold at $35 for on kilogram. How much does a crab that weighs 950 g cost?
Answers
Answer:
eres chica lesbiana sooo preguntq
–9 = –3(w − 5) help please!
Answers
Answer:
w = 8
Step-by-step explanation:
–9 = –3(w − 5)
-3(w - 5) = -9
w - 5 = 3
w = 5 + 3
w = 8
Answer:
hello! have a good day
w = 8
Solve the following system of equations using the SUBSTITUTION METHOD.
SHOW YOUR WORK for full points. Write your answer as an (x,y) point.
x=4y-1
x+2y=11
Answers
Answer:
x = 7, y = 2
Step-by-step explanation:
x= 4y -1
since x is by itself 4y-1 will substitute for x in the other equation x+2y=11
it will become 4y-1+2y=11
+1 +1
add one to both sides since is doesn't have a variable.
it will become 4y+2y= 12 now add 4y+2y
becomes 6y=12
_ _
6 6
divide by 6 on each side and you get y=2.
now x=4(2)-1 you will substitute y into the first equation.
x=8-1 subtract 8 from 1 to get 7.
x=7
y=2
Answer:
hope it helpss
Step-by-step explanation:
hastag keri onlornengs
How do we get from volume to length?
- cube root
- square
- square root
- cube
Answers
Answer:
try cube i think it is cube
hey guys i really need help pls dont waste the points i actually want help to understand how to solve equations like:
x + 2y = 4
or
y= -3/4x - 1
To get both the X value and the Y value? I would really appreciate it loves <3
Answers
Answer:
your question is unclear
Step-by-step explanation:
x+2y=4
-x -x
2y=4-x
divide by 2 to get y by it's self
y=2-(1/2x)
x+2y=4
-2y -2y
x=4-2y
i don't know if u want me to help u with the second one but i did it the first one
The water treatment plant has a tank with a leak. The water tank is leaking at the rate show on the graph.
Find the rate of change at one of the two identified points
Answers
Answer:
the water is leaking at a rate of 3/4 a gallon per hour
Step-by-step explanation:
we know this because rate of change is change in y over change in x and as y goes up 3 x goes up 4 so the rate of change is 3/4
Linear equations: Solve
12<10+3x<52
Answers
Answer:
The answer is 2/3<x<14
Step-by-step explanation:
I looked it up
The perimeter of a rectangle is 68cm.
Its longest side has a length of 25cm.
State the length of the shortest side.
Answers
Answer:
9
Step-by-step explanation:
The equation for the perimeter is 2(L+B)
Since the perimeter is 68
Divide it by two
Subtract the quotient by 25 and
Yes!!! We got the answer
Tell whether each system of equations has no solution or ,infinitely many solutions.
Answers
Answer:
See below.
Step-by-step explanation:
x + 2 = x + 2 ⇒ Infinitely Many Solutions
3x + 1 = 3x - 10 ⇒ 1 ≠ -10 ⇒ No solutions
x + 4 = 2x + 4 ⇒ 4 = x + 4 ⇒ 0 = x ⇒ One solution