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
g100num [7]
3 years ago
13

Find the quadratic function y=a(x-h)^2 whose graph passes through the given points. (12,-7) and (9,0)

Mathematics
1 answer:
ryzh [129]3 years ago
6 0

Answer:

y = (-7/3)(x - 9)

Step-by-step explanation:

<em><u>(12, - 7)</u></em>

y = a(x - h)^2

-7 = a(12 - h)^2

- 7 = a(144 - 24x + h^2)

<em><u>(9,0)</u></em>

0 = a(x - h)^2

0 = a(9 - h)^2

0 = a(81 - 18h + h^2)

From (9,0) we can conclude that

a = 0

or

(9 - h)^2 = 0

Let's try the second possibility.

Take the square root of both sides.

9 - h = sqrt(0)

Add h to both sides

9 - h = 0  

h = 9

So now what we have is

y = a(x - 9)

Use the first equation to get a

-7 = a(12 - 9)

-7 = a(3)

-7/3 = a

Answer

y = (-7/3)(x - 9)

You might be interested in
Please help with this asap!! :)
Llana [10]

Answer:

x = 11

Step-by-step explanation:

Given :

AB = x + 5

BC = 2(x - 3)

AB = BC

AB = BC

x + 5 = 2(x - 3)

x + 5 = 2x - 6

5 + 6 = 2x - x

     11 = x

     x = 11

happy to help :)

3 0
3 years ago
DETERMINE IF A FUNCTION OR NOT<br><br>WILL MARK BRAINLIEST FOR CORRECT ANSWERS
balu736 [363]

Answer:

Relation 3: yes, it can be a function

Relation 4: no, it cannot be a function

Step-by-step explanation:

in a function, for every input x there can only be one correlating output y.

4 0
3 years ago
33 1/3 of 21 (finding the percent of a number)
iragen [17]
<span>33% of 21=6.93 i think this is the answer</span>
5 0
3 years ago
a business Spa a lot of 2500 lamps for $50,000 and wants to sell them at a 15% profit how much should each lamp cost
Vedmedyk [2.9K]

the simple equation you have to do is

0.15 x 50,000 or 15% of 50,000 of which both equations will result in 7500

4 0
3 years ago
Katie has $120 on her cafeteria card. Every time she orders a meal, $4.50 is deducted from the value on her card. The amount of
OLga [1]

Answer:

i think it's 11 meals have been ordered

4 0
3 years ago
Other questions:
  • Please help me I don’t understand
    5·1 answer
  • What is the simplified form of x minus 2 over x squared plus x minus 6divided byx squared plus 5x plus 4 over x plus 4?
    14·1 answer
  • Will mixes 1/4 gallon of milk and 1/2 gallon of chocolate syrup to make chocolate milk. Each serving is 1/16 gallon. How many se
    12·1 answer
  • Use algebra to simplify the expression before evaluating the limit. In particular, factor the highest power of n from the numera
    6·1 answer
  • Q # 18 Find the midpoint of. A B
    8·1 answer
  • What would y be if 8x-6y=36
    7·1 answer
  • 5,10,20... write an explicit and recursive equ
    11·1 answer
  • Your credit card has a balance of $3300 and an annual interest rate of 14%. You decided to pay off the balance over two years. I
    15·1 answer
  • I have a trapezoid what is the answer for a 4 inches in height by8 inches in base
    13·1 answer
  • What’s the rangeee??
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!