1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ruslelena [56]
2 years ago
12

Math again yay!...Ew math

Mathematics
1 answer:
Sliva [168]2 years ago
4 0

Answer:

The graph of g(x) is wider.

Step-by-step explanation:

Parent function:

f(x)=x^2

New function:

g(x)=\left(\dfrac{1}{2}x\right)^2=\dfrac{1}{4}x^2

<u>Transformations</u>:

For a > 0

f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}

f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}

\begin{aligned} y =a\:f(x) \implies & f(x) \: \textsf{stretched/compressed vertically by a factor of}\:a\\ & \textsf{If }a > 1 \textsf{ it is stretched by a factor of}\: a\\  & \textsf{If }0 < a < 1 \textsf{ it is compressed by a factor of}\: a\\\end{aligned}

\begin{aligned} y=f(ax) \implies & f(x) \: \textsf{stretched/compressed horizontally by a factor of} \: a\\& \textsf{If }a > 1 \textsf{ it is compressed by a factor of}\: a\\  & \textsf{If }0 < a < 1 \textsf{ it is stretched by a factor of}\: a\\\end{aligned}

If the parent function is <u>shifted ¹/₄ unit up</u>:

\implies g(x)=x^2+\dfrac{1}{4}

If the parent function is <u>shifted ¹/₄ unit down</u>:

\implies g(x)=x^2-\dfrac{1}{4}

If the parent function is <u>compressed vertically</u> by a factor of ¹/₄:

\implies g(x)=\dfrac{1}{4}x^2

If the parent function is <u>stretched horizontally</u> by a factor of ¹/₂:

\implies g(x)=\left(\dfrac{1}{2}x\right)^2

Therefore, a vertical compression and a horizontal stretch mean that the graph of g(x) is wider.

You might be interested in
Find the surface area and round to the nearest hundredths place when necessary.
pashok25 [27]

Answer:

First lets find the area of the bottom circle:

7.2 is your radius so:

7.2^2 = 51.84 the reason why you square your radius is because thats apart of the formula when finding the are of a circle.

lets continue:

51.84 x 3.14(pi) = 162.7776

Now we need to find the area of the round surface but first we need to find the circumference of one circle and multiply it by the height.

2 x 3.14 x 7.2 = 45.216

Now lets multiply it by the height:

45.216 x 17 = 768.672

Now lets add both areas:

768.672 + 162.7776 = 931.4496 dont forget to round to the nearest hundredths place! 931.4496 rounded up = 931.45 square meters is your answer.

6 0
3 years ago
A circular cake is cut into 8 equal pieces. What is the angle measure of each piece?
pishuonlain [190]

Answer:

45

Step-by-step explanation:

A whole circle is 360 so if you divided that by 8 you get 45

4 0
3 years ago
Read 2 more answers
Give brainliest! Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 3 units long. Point C is on
Anastasy [175]

Answer: y coordinate is 6

Step-by-step explanation:

6=1/2(3)(h)

If you solve for H then

h=4

So, add 4 to the line y=2

y=2+4

2+4= 6

Hence, the possible y coordinate of point C is 6

Hope this helped!

I would really appreciate if marked brainlest !

Thank you !

6 0
3 years ago
Read 2 more answers
Which decimal is equivalent to
antiseptic1488 [7]

Answer:

4.75

Step-by-step explanation:

19 goes into 4 4 times, so we are left with 4 3/4. 3/4 is 0.75, so we have 4.75 as our answer.

8 0
3 years ago
Read 2 more answers
Jenny picked 25 roses. she gave away 10 roses. What percent of the roses did Jenny give away?
diamong [38]
Divide 10 by 25, which would get you 4. Move the decimal over two to the left, because you wanted a percentage.

Jenny gave away 40% of the roses.
3 0
3 years ago
Other questions:
  • You have 3/5 of an apple pie . you divide the remaining pie into 5 equal pieces. what fraction of the original pie is each slice
    10·1 answer
  • What is X the two numbers are 46 and 71
    15·1 answer
  • Please answer this question now in two minutes
    6·1 answer
  • Any one can help me
    12·1 answer
  • Find an equation of the line passing through the points<br> (–3, –5) and (6, –2).
    5·2 answers
  • A fair coin is flipped twice. H is recorded for heads and T for tails after each flip. The notation for conditional probability
    13·1 answer
  • Leo has 1 1/3 cups of sugar. He uses 34 cups of sugar in a recipe. How much sugar does Leo have left?
    9·1 answer
  • The price of Stock A at 9 A.M. was ​$12.79 Since​ then, the price has been increasing at the rate of ​$0.11 each hour. At noon t
    10·1 answer
  • 14. The summer sports training camp has a
    5·1 answer
  • Can you please help me
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!