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
Wittaler [7]
3 years ago
8

Find the equation of a quadratic function in general form whose graph has points: (-2, 3) (0, 3) and (-4,-5).

Mathematics
1 answer:
Burka [1]3 years ago
7 0

Answer:

-x²-2x+3

Step-by-step explanation:

The first thing I noticed is that the first and second point has the same y intercept despite being only 2 x coordiantes away. This must mean that the vertex's x coordiante is probably (-1,4)

Because the vertex is probably (-1,4) the graph must also be concave down because the point (-4,-5) is below it

writing this in vertex form we get

-a(x+1)²+4

Where a is some constant

solve for a by plugging in (0,3)

3= -a(0+1)²+4

3= -a+4

-1= -a

a=1

therefore the equation looks like

-(x+1)²+4

expanding this so that it's in stantard form...

-(x²+x+x+1)+4

-x²-2x+3

which is the final answer

You might be interested in
Graph the follow in equation
AURORKA [14]
13 and 2 are numbers you could use in graph☺
8 0
3 years ago
Read 2 more answers
Steve is choosing between two jobs at Smithsonian museums. One job is funded through the federal government and offers a pension
lora16 [44]
Private funding can run out. federal funding will likely not run out
4 0
4 years ago
Read 2 more answers
In the graphic below, TRI = NLG by:
Scrat [10]
<T = <N
<R = <L
RI = LG

answer is B.
AAS

8 0
3 years ago
A number increased by 19 is the same as 9 less than five times a number
IgorLugansk [536]

Answer:

the number should be 7

Step-by-step explanation:

7 times 5 eqauls 35. 35 minus 9 equals 26. if you add 7 and 19 you get 26.

4 0
3 years ago
Read 2 more answers
Which of these equations could represent the blue line?
belka [17]

Hello from MrBillDoesMath!


The first choice (y = 2x) is NOT the blue line because it has twice of the slope of the line y=x. That is,  for a given positive x value the graph of y= 2x  appears above the black line which is not the case for the blue line shown.

The second choice (y =.001x) is a possibility but the multiplier .001 is so small I think the graph of that line would be "close" to the x-axis. I don't think it's the blue line.

y = -x. Now here we can say NO!  That line goes through the origin all right but has a slope of -1 so is heading "downward" from left to right. That is not the blue line either.

Well, then, it seems that the last equation ( y = 1/2x) is the only remaining reasonable answer.


Regards,  MrB.


5 0
3 years ago
Other questions:
  • True or false: the median of the values 3.4, 4.7, 1.9, 7.6, and 6.5 is 4.05.
    14·2 answers
  • A local museum had a total of 38,267 visitors last year. The museum was open everyday except for four holidays. On average how m
    12·2 answers
  • You make a $15 payment on your loan of $500 at the end of each month
    13·1 answer
  • Please help me !!!!!Nico,Aditi,Erick,Raj, and Sandra are solving the equation. 2/5(5+x)=8
    5·1 answer
  • Which function describes the arithmetic sequence shown?
    14·2 answers
  • a dairy farm has 9 pastures and 630 cows. the same number of cows are placed in each pasture. how many cows are in the pasture?
    5·2 answers
  • You are buying a new car. The price (MSRP) is $16,995. You are trading in your old car which is valued by the dealer at
    7·2 answers
  • The measure of an angle is 1°. What is the measure of its supplementary angle?
    6·1 answer
  • The local bike shop sells a bike and accessories package for $266. If the bike is worth 6 times more than the accessories, how m
    13·1 answer
  • 1. f(x) = x; h(x) = 4x - 2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!