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]
3 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]3 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
A circular tablecloth has a diameter of 70 inches. Max wants to add a decorative fabric around the edge of the tablecloth.Approx
JulijaS [17]

Answer:

219.8

Step-by-step explanation:

you multiply 70 and 3.14 and get 219.8

5 0
2 years ago
.Write the expression x4 + 5x2 – 8 in quadratic form, if possible.
rodikova [14]

Answer:

5x^2 + 4x - 8 Hope this helps! I think this is right, but it's hard to tell from the problem.

Step-by-step explanation:

5 0
3 years ago
What is the midpoint of a line segment with the endpoints (-4, -3) and (7, -5)
Katyanochek1 [597]
Midpoint Formula: (\frac{x+x}{2},\frac{y+y}{2})
Midpoint = (\frac {-4+7}{2},\frac {-3-5}{2})
Midpoint = (\frac {3}{2},\frac {-8}{2})
Midpoint = (\frac {3}{2}, -4)
So, the midpoint of the endpoints (-4,-3) and (7,-5) is (\frac {3}{2}, -4).
Have a nice day! ♪
4 0
3 years ago
Read 2 more answers
3
Ivanshal [37]
Im not rlly that good at math but I believe in u smart ppl
4 0
3 years ago
HEEELP MEEEE FIND THE CIRCUMFERENCE
Alex Ar [27]

Answer: 56.52

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Kayla has 36 yellow stickers, 27 red stickers, and 18 blue stickers. She wants to distribute the stickers into bags so that each
    8·1 answer
  • Find the average rate of change for f(x)=x^2 +9x+18 from x= -8 to x= -2
    10·1 answer
  • The sum of the square of a positive number and the square of 3 more than the number is 89. What is the​ number?
    6·1 answer
  • Find the first, fourth, and eighth terms of the sequence.
    8·1 answer
  • Elijah earn $200 for 8 hours of work what is the unit rate in miles per hour
    15·2 answers
  • On the Red Trail, the distance between point A and point B is 7.3 kilometers. How many meters is 7.3 kilometers?
    9·2 answers
  • Solve: x+2/x-4&lt;0<br> O _4 O -2 -2 -4
    15·1 answer
  • Car x travels 162 miles in 3 hours: write an equation of the line that describes the relationship between distance and time. Use
    5·1 answer
  • What is the probability of rolling an even number on a number cube and spinning red or yellow on the spinner shown?
    8·1 answer
  • Do you guys know how to find a square root or cube root without a calculator? I need a explanation and a example.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!