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
andrew11 [14]
3 years ago
15

The graph of a quadratic function has a vertex at (5,3) and goes through the point (-1,-9). What is the equation of the function

?
Mathematics
1 answer:
kotegsom [21]3 years ago
8 0

Answer:

y=-\frac{1}{3} (x-5)^2+3

Step-by-step explanation:

We are given the following;

  • Vertex of a quadratic function = (5,3)
  • A point where the function passes through (-1, -9)

Required to determine the equation of the function;

  • We need to know the vertex form of a quadratic function is;

y=a(x-h)^2+k, where h and k correspond to the vertex (h,k)

  • Therefore, we can replace the variables h and k of the vertex in the equation;

That is;

y=a(x-5)^2+3

Then we use the equation and the point given to solve for a

x = -1 and y = -9

We get;

-9=a(-1-5)^2+3\\-9 = a(36) + 3\\-9 - 3 = 36a\\-12 =36a \\a=-\frac{1}{3}

Substituting the values of a, h and k in the equation, we get;

y=-\frac{1}{3} (x-5)^2+3

Thus, the equation of the function in the vertex form is y=-\frac{1}{3} (x-5)^2+3

You might be interested in
What is the value of the expression 2 over 3 subtracted by 5 over 6 divided by 3 over 4
Tju [1.3M]
I did the problem and I got negative 4 over 9
5 0
3 years ago
Read 2 more answers
What is z equal too ? please help me !!! thanks 10 points asap !!!
wariber [46]
Z would mean 0 considering they would both be the last
5 0
3 years ago
these are all seperate but im taking an exam for math and im stuck. the last two pictures go together! (the triangle and chart)
Alex787 [66]

Answer:

A 56

C

Right triangle

No,No,No,Yes

Step-by-step explanation:

180-124=56

sin a=sideopposite/hypotnuse

8/17

cos a= side adjecent/hyptnuse

15/17

7 0
3 years ago
Vallues of 3×-2ײ=7​
mrs_skeptik [129]

Answer:

Step-by-step explanation:

"Find the values of x that satisfy 3x - 2x^2 = 7."  Please do not use " × " to represent a variable; " × " is an operator, the "multiply" operator.

Rearrange these three terms in descending order by powers of x:

-2x^2 + 3x - 7 = 0.   Here the coefficients are a = -2, b = 3 and c = -7, and so the discriminant of this quadratic is b^2-4ac, or 9 - 4(-2)(-7), or 9 - 56, or -47.

Because the discriminant is negative, we'll have two different complex roots here.  The quadratic formula becomes

       -3 ± i√47         -3 ± i√47

x = ----------------- = -------------------

        2(-2)                     -4

6 0
3 years ago
-1 whole 1/2 + (-1 whole 1/2)
OLEGan [10]

Answer:

-3

Step-by-step explanation:

plz give me brainly

4 0
3 years ago
Other questions:
  • How do you turn 20% into a decimal?
    9·2 answers
  • Protecting sovereign boundaries in regards to intellectual property has a positive effect on the GDP
    11·1 answer
  • What is the area of the triangle ​
    14·1 answer
  • Darren teaches a class of 25 students. He assigns homework 3 times a week, and each assignment consists of 12 problems. How many
    15·1 answer
  • If point A is reflected over the y-axis and its original location was (2,3) where is its new location
    9·2 answers
  • Jared buys 3 pounds of chicken at $3.15 per pound and 1 pound of broccoli at $1.40 per pound. How much will it cost to make dinn
    11·1 answer
  • Which graph represents -5x + 3y > 9?
    6·1 answer
  • GEOMETRY HELP PLEASE!!! FAST!!!
    5·1 answer
  • For the following system of equations, find the points where F(X)=G(X) by completing
    10·1 answer
  • The graphs of the equations 4x - y = 6 and x + y = 4 intersect at
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!