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
scoundrel [369]
3 years ago
11

On a coordinate plane, a parabola opens up in quadrant 1. It goes through (2, 12), has a vertex at (5, 3), and goes through (8,

12). Write the equation of the function whose graph is shown. y = (x + )2 +.

Mathematics
1 answer:
ruslelena [56]3 years ago
3 0

Answer:

Step-by-step explanation:

You have a vertex coordinate and 2 points. In order to write the equation for that parabola, you only need the vertex and one point. We will fill in the following work form of the parabola:

y=a(x-h)^2+k , where h and k are from the vertex and x and y are from the point. Filling in:

12=a(8-5)^2+3 and

12=a(3)^2+3 and

12=9a+3 and

9 = 9a s0

a = 1.

Now we can write the equation, filling in a, the only unknown we had, which we now know is 1:

y=1(x-5)^2+3

You might be interested in
Show how to find the roots (zeros) of the function in the picture below.
Vikki [24]

Answer:

The roots (zeros) of the function are:

x=5,\:x=-8

Step-by-step explanation:

Given the function

f\left(x\right)=x^2+3x-40

substitute f(x) = 0 to determine the zeros of the function

0=x^2+3x-40

First break the expression x² + 3x - 40  into groups

x² + 3x - 40 = (x² - 5x) + (8x - 40)

Factor out x from x² - 5x:  x(x - 5)

Factor out 8 from 8x - 40:  8(x - 5)

Thus, the expression becomes

0=x\left(x-5\right)+8\left(x-5\right)

switch the sides

x\left(x-5\right)+8\left(x-5\right)=0

Factor out common term x - 5

(x - 5) (x + 8) = 0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

x-5=0\quad \mathrm{or}\quad \:x+8=0

Solve x - 5 = 0

x - 5 = 0

adding 5 to both sides

x - 5 + 5 = 0 + 5

x = 5

solve x + 8 = 0

x + 8 = 0

subtracting 8 from both sides

x + 8 - 8 = 0 - 8

x = -8

Therefore, the roots (zeros) of the function are:

x=5,\:x=-8

6 0
2 years ago
What is 3(x +3) -10 • 5
olga nikolaevna [1]
The answers is =3x−41
8 0
3 years ago
Name
rjkz [21]

Answer: B. Company 1's debt < Company 4's debt

6 0
2 years ago
I need helppp someone e<br> Help me pls
LuckyWell [14K]

Step-by-step explanation:

s ask me what's your question I can help u

5 0
2 years ago
there are 5 walnut trees currently in the park park workers will plant 8 more walnut trees today how many walnut trees will the
AleksandrR [38]
5, because walnut trees take forever to grow
8 0
3 years ago
Other questions:
  • What is the factorization of the polynomial below? -x^2-15x-54
    12·1 answer
  • For f(x) = 3x+1 and g(x) = x^2-6, find (g/f)(x)
    12·2 answers
  • What is the value of 7z^2 + 4 x 3w when w= 8 and z= -3
    14·2 answers
  • What are the solutions of the quadratic equation 49x^2=9?
    15·1 answer
  • Find the distance between the given points (2,8) and (7,7)
    6·1 answer
  • I need help with this question I'm not sure what the answer is
    10·1 answer
  • Can anyone answer these questions?
    14·1 answer
  • What is an equivalent form of the function f(x) = -x2-8x-12 that reveals the zeroes of the function?
    6·1 answer
  • Bananas sell for $0.49 for 1 pound. How much will 1.31 pounds cost?
    6·2 answers
  • Five sixths of a number is negative five ninths. what is the number
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!