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
Ann [662]
3 years ago
7

Write a quadratic function with a graph that meets the following conditions: x-intercepts at (2, 0) and (6, 0) with a minimum at

(4, -8)
Mathematics
1 answer:
Darya [45]3 years ago
5 0
The minimum is the vertex
y=a(x-h)^2+k
(h,k) is vertex
given
(4,-8)
y=a(x-4)^2-8
find a
given
(2,0) and (6,0)
find a

0=a(2-4)^2-8
0=a(2)^2-8
0=4a-8
8=4a
divide 4
2=a

other one
0=a(6-4)^2-8
0=a(2)^2-8
0=4a-8
8=4a
divide 4
2=a


the function is
y=2(x-4)²-8 or expanded
y=2x^2-16x+24
You might be interested in
Can someone help me please
FinnZ [79.3K]

Answer:

1/9, 3, 27

(A / the first option listed)

Step-by-step explanation:

Here, we are given an expression with an "x" in it, and we are to evaluate possible x values, which means we plug them in as the x in the expression

first,

x = -2

3ˣ → 3⁻²

when we raise something to a negative power, we simply find the positive version of that power, and put a 1 over it:

3²  =  3 · 3 =  9

so, 3⁻² =  \frac{1}{9}  (1/9)

next,

x = 1

3ˣ → 3¹

now, here we have something raised to the power of 1, which is always itself, so  3¹ = 3

   (think of ^to the power of  as how many times we multiply that number, so 3² = 3 · 3, 3¹ = 3)

and finally,

x = 3

3ˣ → 3³

here, we can multiply 3 by itself 3 times:

3 · 3 · 3 = 27

so, 3³ = 27

[<em>important note</em><em>: when we raise something to a power, we are </em><u><em>not</em></u><em> multiplying the base number by that number, but this is a common mistake. but the exponent is how many times we are multiplying that number, which is confusing at first}</em>

So, our answers in order are:

1/9, 3, 27 (the first option listed)

hope this helps! let me know if I should clarify anything :)

8 0
2 years ago
Write and equation ( and maybe solve) please!
mihalych1998 [28]
49.75 - 8 = 41.75.  41.75 / 1.369 = 30.4967129.  Let's round it to 2 decimal points, which is 30.5.  The maximum number of litres of gasoline that Terri can purchase is 30.5.  If m= money, c= price of car wash and g= price of gasoline per litre, the equation is (m - c) / g. 
3 0
4 years ago
Help plz :)<br><br><br><br><br><br>..............​
Art [367]
Hello! What type of work is that so I can specifically know! :)
8 0
4 years ago
Read 2 more answers
Plz help asap and plz show me how to do this..thxs I really need help with this
Fed [463]
 G is the answer because if you set x as the value of B, then x+(x+10)+(x+30)=180 so x=46.67. then you add 10 to that because the value of A is 10 more than B
3 0
4 years ago
Using compatible numbers, which number is the best estimate of 72.67 ÷ 7.8?
LiRa [457]

B is the answer to your question.

8 0
4 years ago
Other questions:
  • What is the area of a circle with a diameter of 15m? And pls explain how you got the answer
    6·1 answer
  • One of the key questions historical criticism attempts to answer is: why did the people make the choices they made in the partic
    9·1 answer
  • sean measured his rectangular patio and determined the area was 216 square feet. he remembered that one dimension was 9 feet. wh
    8·2 answers
  • Sharaya went to the movies and bought one small popcorn and two chocolate chip cookies for $8.00. Marvin went to the same movie
    11·1 answer
  • What is the volume of a right rectangular prism that is 3 meters by 4.5 meters
    10·1 answer
  • Percent of times you roll odd on a standered die
    8·2 answers
  • If the APR of a savings account is 1.9% and interest is compounded semiannually, what is the approximate APY of the account
    7·1 answer
  • Find the midpoint between-18 and 56
    13·2 answers
  • BRAINLIEST
    8·1 answer
  • Which equation is equivalent to 15x - 3 = 25
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!