(03.03)
How does the graph of f(x) = (x – 9)^4-3 compare to the parent function g(x) =x^4?
Answers
Answer:
Step-by-step explanation:
The child graph is shifted 9 units to the right. That's what the nine does. The graph also shifts 3 units down when compared to g(x).
I have put a graph in so that you can see the shifts for yourself.
The red line is g(x) = x^4
The blue line is f(x) = (x - 9)^4 - 3
Related Questions
Which choice is equivalent to the product below when x > 0?
Square root of 2/x time square root of x^2/8
Answers
Answer:
A.
[tex] \sqrt{x } \div 2[/tex]
is the answer
The choice which is equivalent to [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex] is given by (A) [tex]\frac{\sqrt{x}}{2}[/tex].
What is expression?Expression is a mathematical term that involves variables, numbers and other mathematical quantities and operations or combinations of them.
The given expression is [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex]
Calculating the expression we get,
[tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}=\sqrt{\frac{2}{x}\cdot\frac{x^2}{8}}=\sqrt{\frac{x}{4}}=\frac{\sqrt{x}}{2}[/tex]
So the expression equals to [tex]\frac{\sqrt{x}}{2}[/tex].
Hence the correct option is (A).
Learn more about Expression here -
https://brainly.com/question/723406
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Given g(x) = -5x + 5, solve for 2 when g(x) = 0.
Answers
Answer:
Step-by-step explanation:
g(x) = 0
0=-5x+5
5x=5
x=1
Answer:
x = 5
Step-by-step explanation:
given:
[tex]g(x) = -5x + 5[/tex]
solve for x, when:
[tex]g(x) = 0[/tex]
replace x with 0
~~~~~~~~~~~~
➡️ [tex] x = -5(0) + 5 [/tex]
➡️ [tex] x = 0 + 5[/tex]
➡️ [tex]x = 5 [/tex]
In the similarity
transformation of AACB
to AEFD, AACB was dilated by
a scale factor of [?], reflected
across the [ ], and moved
through the translation [ ].
HELP HELP HELO NOW NOW PLEASE ILL GIVE BRAINLEISTETWBEBEJHEUEJ
Answers
Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units
What is graph transformation?
The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.
Graphs can be extended, rotated, inverted, or any combination of these transformations; they can also be translated or moved along the xyxy plane. The formulas "move the function f(x)f(x) by cc units in some direction," "stretch the function f(x)f(x) by cc units," and "rotate the function f(x)f(x) by xx units about the xx-, yy-, or zz-axis" are frequently used in mathematical issues. In every instance, the transformation has specific, calculable effects on the underlying function.
Since the triangle ABC and DEF is similar
So we can write,
DE/BC=EF/AB=FD/CA
scale factor =Length of CA/length of DF
=6/3
=2:1
Reflected at y axis i.e x=0
and raised by 2 units.
Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units
Learn more about graph transformation,
https://brainly.com/question/4025726
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Consider the equation:
f(x) = -3x - 6
What is the ordered pair for x = 3?
(-3, 3)
(3, -3)
(-15, 3)
(3, -15)
Answers
Answer:
the last one
Step-by-step explanation:
Solve for x: 4 - (x + 2) < -3 ( x + 4)
(9th grade algebra 1)
Answers
Answer:
[tex]x < -7[/tex]
Step-by-step explanation:
[tex]4 - (x+2) <-3(x+4)\\\\4 - x -2 < -3x -12\\2 -x < -3x-12\\-x < -3x-14\\2x < -14\\x < -7[/tex]
The period of a compound pendulum is given by T=2π√(h²+k²/gh) express k in terms of T,h and g
Answers
Answer:
qss-qvcj-kwr join guys iam bored
Ari lives 4/5 of a mile from the park she has already walked 3/4 of the way to the park. How far has ari walked
Answers
You are going to have a swimming pool put your back yard this summer. The dimensions of the pool are going to be 15 ft by 30 ft. There is going to be a concrete walkway around the outside of the pool, but they are not sure how wide it will be. The design of the pool, including the walkway, is shown below.
Answers
The perimeter of a shape is the sum of the all visible side lengths of the shape. The perimeter of the pool including the walkway is 90 + 8x
Given that:
[tex]Length = 15[/tex]
[tex]Width = 30[/tex]
Let the width of the walkway be x.
The dimension of the pool including the walkway is calculated by adding the dimension of the pool to the width of the walkway (on both sides):
So, we have:
[tex]Length = 15 + x + x[/tex]
[tex]Length = 15 + 2x[/tex]
[tex]Width = 30 + x + x[/tex]
[tex]Width = 30 + 2x[/tex]
The perimeter (P) of the walkway is then calculated using:
[tex]P = 2 \times (Length + Width)[/tex]
This gives:
[tex]P = 2 \times (15 + 2x + 30 + 2x)[/tex]
Collect like terms
[tex]P = 2 \times (15 + 30+ 2x + 2x)[/tex]
[tex]P = 2 \times (45+ 4x)[/tex]
Open brackets
[tex]P = 2 \times 45+ 2 \times 4x[/tex]
[tex]P = 90+ 8x[/tex]
Hence, the perimeter of the pool including the walkway is 90 + 8x (see attachment)
Read more about perimeters at:
https://brainly.com/question/6465134
If the linear function is f(x) = 3x + 10, then the value of 3 could represent:
O The initial investment.
O The starting point.
O None of these choices are correct.
O The average change.
O The line of reflection.
Answers
Answer:
3 is the gradient ryt?
Step-by-step explanation:
so Ummm C?
URGENTTTT PLS PLS PLS PIFHCHIDFCHI. How do you write 5x^2-14-3x2 in standard form?
Answers
2x^2-14
2(x^2-7)
HELP PLEASE ITS DUE TONIGHT “Find the measure of angle B”
Answers
Answer:
43°
im sure the answer is correct
Answer:
m∠b = 43°
Step-by-step explanation:
The image shown shows vertical angles. By the definition of vertical angles, quote:
"Angles opposite of each other when two lines cross are always equal", therefore, if one of the vertical angles is 43°, that implies that m∠b = 43°, by definition of vertical angles.
~
1. a number raised to the second power
2. (of some number N) is the number which, when squared, gives you N
3. the superscript number in an exponential expression; tells how many times a factor is repeated
4. (of some number N) is the number which, when cubed, gives you N
5. a number raised to the third power
6. the value of a base and exponent
Squared
Exponent
Cubed
Power
Cube root
Square root
Answers
Answer:
1 - squared
2- square root
3-exponent
4-cubed root
5-cubed
6-power
How many 10- digit number are restricted in the Atlanta area
Answers
Answer:
320,400
Step-by-step explanation:
80,100 restricted numbers x 4 area codes
How is proportional reasoning used to interpret distances on maps?
Answers
Answer:
It shows how a dimension in a scale drawing is related to the actual object. A map is a scale drawing. The measurements on a map are in proportion to the actual distances. If 1 inch on a map equals an actual distance of 2 miles, the scale is 1 inch = 2 miles
hope it helped!
Which interval notation represents the set of all numbers greater than or equal to -8
and less than or equal to -3?
Plz help ASAP
Answers
Where would 7 be located on the number line below
Answers
Answer:
we can check the position of √7 is btw p and q
because square of 2 is 4 while square of 6 is 36
and 7 lies btw 4 and 36 therefore √7 lies btw p and Q
Answer:
OPTION C BETWEEN P AND Q
As 7 is equals to 2.78approx.
Step-by-step explanation:
..
Please someone help I’m stuck with this question please help and show work please
Answers
Answer:
I would think A.
Step-by-step explanation:
Let me explain real quick. A basically states the possible weights, or the y of the function, which include serving size and full bag. B is full numbers which cannot be used in a bag. C and D look like they would he in a perfect form however they are not showing the possible weights for both serving and bag.
state the reasons which is following pairs are equal
Answers
Answer: sorry would have answered if there was a picture attached to it
(b) True or False?
Statement
True False
Х
Some rational numbers are not whole numbers.
o
Some irrational numbers are integers.
All integers are rational numbers.
o
No irrational numbers are whole numbers.
o
Answers
Answer:
I put the answers in order.
True
False
True
False
(Hope this helped☺️! )
From a tap 60 ml of water is leaked within 5 minutes. Find the wasted amount of water within 2 hours from this tap
Answers
Answer:
1440 mL
Step-by-step explanation:
2 hours = 120 minutes
120/5 = 24
24 * 60 = 1440
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the unknown sizes of the angled.
Answers
Step-by-step explanation:
c = 65(being vertically opposite angle)
a + 65 = 180 (being linear pair)
so, a = 115
b = a(being vertically opposite angle)
so, b = 115
Answer:
[tex]thank \: you[/tex]
what is the answer to this equation. x-8/3=3
Answers
Answer:
x − 1 ⋅ 8 /3 = 3
Solve
Step-by-step explanation:
Multiply the numbers
x−1⋅3/8=3
x - 3/8 = 3
Add 8 /3 to both sides of the equation
− 8 /3 = 3
x−3/8=3+ 8/ 3 = 3
Simplify
Solution
= 1 7/ 3
there you go hope this helpedCOULD A KIND SOUL PLEASE PLEASE PLEASE HELP ME???!!!!!!!!!!!
triangle RST is reflected across the line y = x to form triangle R’S’T’. Find the coordinates of the points R’, S’ and T’.
show how you go the answer so I can see if it makes sense!!!
Answers
Answer:
R=(-1,2), T=(-7,4) S=(-2,8)
Step-by-step explanation:
The line y=x is a diagonal line veering to the left, since I can't draw it I'll give you a link on an actual digram of a triangle getting reflect across y=x. But, I just like to do this, if for example Q=(10,-3), I just exhange the negative sign to the left, so it would equal Q"=(-10,3) (Q" means the new modified Q).
The link thingy=https://www.quora.com/What-does-it-mean-to-reflect-over-the-y-x-line
Hopes this helps (:
Suppose the function E(c) represents the earnings of a volleyball team from selling c cupcakes. They are selling each cupcake for $2. They only bought enough supplies to make 100 cupcakes. Describe an appropriate domain and range of this function using interval notation.
Answers
Using domain and range concepts, it is found that:
An appropriate domain for the function is: [tex]c \in [0,100][/tex]An appropriate range for the function is [tex]E \in [0,200][/tex].------------------------------
The domain of a function are the values that the input can assume.The range of a function are the values that the output can assume.------------------------------
The function E(c) represents the earnings of selling c cupcakes.The input is the number of cupcakes sold c.The output is the earnings E.------------------------------
They have enough supplies to make 100 cupcakes, thus, at most 100 cupcakes can be sold, meaning that an appropriate domain for the function is: [tex]c \in [0,100][/tex]If no cupcakes are sold, the earnings will be of $0. If all 100 cupcakes are sold, the earnings will be of $200, as each is sold for $2, meaning that an appropriate range for the function is [tex]E \in [0,200][/tex].A similar problem is given at https://brainly.com/question/2145599
If g( 2x + 1) = 4x-3 then find f(x) and f(-2).
Answers
Answer:
Dont know if this is correct but:
f(x) = 4x-3
f(-2) = 4(-2)-3
f(-2) = -11
Step-by-step explanation:
What are the coordinates of A' after a 180 degree rotation about (-5, 3)?
Answers
Answer: (5,3)
Step-by-step explanation:
A 180 degree rotation will take you to sector b which is (+,+), so I knew it was going to be positive.
-5,3)
(+5,-3)
Interpret the following exponential function:
y = 6 (1.07) Superscript x
What is the growth/decay factor? What is the y-intercept?
a.
Decay factor is 6; y-intercept is 1.07
b.
Decay factor is 1.07; y-intercept is 6
c.
Growth factor is 6; y-intercept is 1.07
d.
Growth factor is 1.07; y-intercept is 6
Answers
Answer:
d. Growth factor is [tex]1.07^{x}[/tex] ; y-intercept is 6
Step-by-step explanation:
I. When y = 6([tex]1.07^{x}[/tex])
If growth factor means
y.value will increase if x.value is increase
Prove Given x = 1, 2
y = 6(1.07)^1
= 6.42
y = 6(1.07)^2
= 6.866
That makes 1.07 is growth factor
A triangular park has sides 80m, 64m and 48m.
Answers
Answer:
If your trying to find the perimeter it's 192.
find the product of
[tex]63 \times 0 \times ( - 7)[/tex]
Answers
Answer:
0
Step-by-step explanation:
63 * 0 is 0. 0 * (-7) is also 0.
Anything multiplied by 0 is 0, no matter how big the number is, or how many numbers there are.
Hope this helps :)
what expression is equivalent to (1/16)^-4
Answers
16^4 Hope this helps.
Answer:
16 ⁴
Step-by-step explanation:
use a -n= (1/a)n
(1/16 - ⁴= ( 16/ 1 )
=16 ⁴