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
Firdavs [7]
4 years ago
13

Determine the quadratic function f whose graph is given. The vertex is (1,-3) and y-intercept is -2

Mathematics
1 answer:
Nesterboy [21]4 years ago
5 0

Answer:

Vertex form: f(x)=(x-1)^2-3

Standard form: f(x)=x^2-2x-2

Step-by-step explanation:

A quadratic function in vertex form is f(x)=a(x-h)^2+k where (h,k) is the vertex.

We are given h=1,k=-3.

Let's plug that in:

f(x)=a(x-1)^2-3.

Now let's find a.

We will use the y-intercept (0,-2) to find a.

f(0)=a(0-1)^2-3

-2=a(0-1)^2-3

-2=a(-1)^2-3

-2=a(1)-3

-2=a-3

1=a

So the function in vertex form is:

f(x)=(x-1)^2-3.

In standard form, we will have to multiply and combine any like terms.

Let's do that:

f(x)=(x-1)(x-1)-3

f(x)=x^2-x-x+1-3

f(x)=x^2-2x-2

You might be interested in
Rob measured the height of an art frame as 5.12 feet, but the actual height was 6 feet. What is the percent of error in Rob's me
BlackZzzverrR [31]
When the amount found when Bob measured [5.12] is divided by the actual [6] the result is .853333, which is the percentage that Bob measured as compared to the actual. amount of error is 15% (100%-85%)
7 0
3 years ago
Read 2 more answers
Solve the equation. If there is no solution, write no solution. –2 |h – 7| = –28
Elodia [21]
The answer is, A) No solution
8 0
4 years ago
Find the function for the line that goes through the points:[(-2,-2),(2,0),(6,2)].
enyata [817]
Use the form
a
sin
(
b
x
−
c
)
+
d
a
sin
(
b
x
-
c
)
+
d
to find the variables used to find the amplitude, period, phase shift, and vertical shift.
a
=
1
a
=
1
b
=
1
b
=
1
c
=
−
45
c
=
-
45
d
=
0
d
=
0
Find the amplitude
|
a
|
|
a
|
.
Amplitude:
1
1
Find the period using the formula

.
Tap for more steps...
Period:
2
add stuff in the things word orange
7 0
3 years ago
An initial deposit of $5,000 is made into a savings account that compounds 3% interest annually. How much is in the account at t
loris [4]
Find how much 3% of $5000 is. Then multiply the 3% by five and add it to 5000. I hope that didn’t sound confusing.
8 0
3 years ago
Read 2 more answers
What is the average of the multiples of 5 from 5 to 50 , inclusive
Advocard [28]

Answer:

 27.5.

Step-by-step explanation:

These  values are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50.

The average = their sum / 10

= 275 / 10

= 27.5 .

3 0
3 years ago
Other questions:
  • What is 72 divided 9 parts no any Sam sankhy
    13·2 answers
  • nyah is making a collage of her friends school pictures on a poster board. each picture is 2 inches by 3 inches and the poster h
    10·1 answer
  • If middle school and senior school are winning football games in the ratio 3:9 . If the Middle school won 17 games, calculate ho
    10·1 answer
  • HELP ON THIS, ITS DUE SOON
    6·1 answer
  • 26 beats in 1/6 minutes equals what beats per minute
    15·2 answers
  • Helo me please please ​
    13·2 answers
  • Help!! Find the values of y and z.
    11·1 answer
  • My question is in the picture, answer it I’ll give you BRAINLIEST and your getting rewarded 50 POINTS.
    14·2 answers
  • CAN SOMEONE HELP ME PLEASE ASAP!?
    11·1 answer
  • Please see attached photo for problem from my homework set.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!