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
ale4655 [162]
3 years ago
6

Why is the vertex of vertex form y=a(x-h)^2+k (h,k) rather than (-h,k)? If that was y=2(x-5)^2+6, the vertex would be at (5,6) w

hich is (-h,k).​
Mathematics
1 answer:
Sindrei [870]3 years ago
7 0

9514 1404 393

Answer:

  (5, 6) is (h, k)

Step-by-step explanation:

Vertex form is an instance of the transformation of parent function f(x) = x². It is vertically scaled by a factor of 'a', and translated so the vertex is point (h, k). That is, the transformed vertex is h units right and k units up from that of the parent function (0, 0).

Parent:

  f(x) = x^2

Transformed:

  f(x) = a(x -h)^2 +k

__

When you compare the form to your specific instance, you need to pay attention to what it is that you're comparing. As the attachment shows, ...

  • a = 2
  • -h = -5   ⇒   h = 5
  • k = 6

Hence the vertex is (h, k) = (5, 6). The second attachment shows this on a graph.

You might be interested in
Factor 3/4 out of 3/4z + 6
Alenkasestr [34]
ANSWER

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  8  )


EXPLANATION

We want to factor
\frac{3}{4}
out of

\frac{3}{4} z + 6

The first term is already having a factor of
\frac{3}{4}
The constant term which is the second term is not having a factor of
\frac{3}{4}
so we need to use a trick of multiplying and dividing by the same factor to obtain,



\frac{3}{4} z + 6 =  \frac{3}{4} z +  \frac{3}{4}  \times  \frac{6}{ \frac{3}{4} }


We can now factor
\frac{3}{4}
out of the right hand side to obtain,

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  \frac{6}{ \frac{3}{4} } )
Let us rewrite the right most fraction using the normal division symbol.

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  6 \div  \frac{3}{4}  )




We simplify to obtain,

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  6  \times  \frac{4}{3}  )



This further gives us,


\frac{3}{4} z + 6 =  \frac{3}{4} (z +  2 \times  4  )



\frac{3}{4} z + 6 =  \frac{3}{4} (z +  8  )


5 0
3 years ago
Read 2 more answers
In a geometric progression, the first tern is 81 and the fourth term is 24. find the common ratio​
lesantik [10]

Step-by-step explanation:

<h2><u><em>81/24</em></u></h2><h2><u><em>= 27/8</em></u></h2>

8 0
3 years ago
Read 2 more answers
How would i multiply 1/4 by 18 what will it be???
Lyrx [107]

Answer:

18/4 or 4  1/2 or 4.5

Step-by-step explanation:

1/4*18/1=18/4

8 0
2 years ago
Read 2 more answers
What subtracted by 26 equals -102​
Lesechka [4]

Answer:

-76

Step-by-step explanation:

6 0
2 years ago
How much money will Claire have after 1 year?
Elena-2011 [213]

Answer:Clare made $160 babysitting last summer. She put the money in a saving account that pays 3% interest per year

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • -2/3 times (-2 1/4)times 3/4 <br> Show work pls
    8·1 answer
  • Please help. I don’t understand or know how to do it.
    10·1 answer
  • Write the equation of the line that contains slope of 4 and a coordinate of (3,11)
    10·1 answer
  • Simplify <br> −5x^4(−3x^2+4x−2)
    10·1 answer
  • When distributing 1/4 to (4) what do u get​
    8·2 answers
  • PLEASE HELP I WILL AWARD BRAINLY
    12·1 answer
  • Reese is selling lemonade at the parade. He gets to keep 50% of the money he collects. A large lemonade is $8.00 and a small lem
    8·1 answer
  • Dante’s chocolate bar is 36% cocoa. If the weight of the chocolate bar is 73 grams, how many grams of cocoa does it contain roun
    11·2 answers
  • A health research institute collects information from 20 individuals on the number of years they have spent smoking cigarettes,
    8·1 answer
  • 28. sylvia researched changes in the deer population in her state's parks during her lifetime
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!