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
posledela
2 years ago
5

Write the equation of the parabola in vertex form. Vertex (1,2) point (2,-4)

Mathematics
1 answer:
lozanna [386]2 years ago
8 0

Answer:

f(x)=6(x-2)^2-4

Step-by-step explanation:

The equation in vertex form is

f(x)=a(x-2)^2 - 4

Substituting in the coordinates (1,2) to find a,

2=a(1-2)^2 - 4 \\ \\ 2=a-4 \\ \\ a=6 \\ \\ \therefore f(x)=6(x-2)^2-4

You might be interested in
2,3,5,9,17,33 what are the next three terms?
stich3 [128]

The next three terms of sequence are 65, 129 and 257

<em><u>Solution:</u></em>

<em><u>Given sequence is:</u></em>

2, 3, 5, 9, 17, 33

We have to find the next three terms in sequence

<em><u>Let us find the logic used in this sequence</u></em>

2 + 2^0 = 2 + 1 = 3\\\\3 + 2^1 = 3 + 2 = 5\\\\5 + 2^2 = 5 + 4 = 9\\\\9 + 2^3 = 9 + 8 = 17\\\\17 + 2^4 = 17 + 16 = 33

Thus the sequence is increasing by 2 raised to power 0, 1, 2 and so on

<em><u>Thus the next three terms are found by:</u></em>

33 + 2^5 =33 + 32= 65\\\\65 + 2^6 = 65 + 64 = 129\\\\129 + 2^7 = 129 + 128 = 257

Thus the next three terms of sequence are 65, 129 and 257

3 0
2 years ago
Complete the equation of the line whose slope is -2 and y-intercept is (0,-8)<br><br> y=
Alexandra [31]

Answer:

y = -2x - 8

Step-by-step explanation:

We want to find the slope-intercept form of this equation. Slope-intercept form is denoted by: y = mx + b, where m is the slope and b is the y-intercept.

We already know that the slope is -2, so that means m = -2.

We also know the y-intercept (or the point where the line crosses the y-axis) is (0, -8), which means b = -8.

Thus, our equation is: y = -2x - 8.

<em>~ an aesthetics lover</em>

7 0
3 years ago
Read 2 more answers
Solve this:<br><br> -4&lt;3x-4&lt;_ 11<br><br> A. 5 B. 0 C. 0
statuscvo [17]
Your answer most likely will be A
4 0
3 years ago
REPOST PLEASE HELP !!!!
Jlenok [28]

Answer:

-3*23

Step-by-step explanation:

6 0
2 years ago
3x/7 in verbal expression
FrozenT [24]
The answer to this equation in verbal expression would be 'the product of 3 and a number divided by 7'. I hope I helped!
7 0
3 years ago
Read 2 more answers
Other questions:
  • Given f(x)=x+7 and g(x)=x-3 what is f(x)+g(x) ? A.2x+4 B.10x C.2x-7 D.-2x+10
    7·2 answers
  • I REALLY NEED HELP WILL GIVE EVERYTHING GOOD IF YOU HELP ON 2 MORE
    5·1 answer
  • I’ve tried to work this out but I can’t get it figured out. Can someone help me
    11·1 answer
  • -8x-11x simplifying
    12·2 answers
  • What is 16.5 as a percent<br> and NO it is not 165% or 1650% none of that please
    10·1 answer
  • The average diameter of sand dollars on a certain island is 5.00 centimeters with a standard deviation of 0.90 centimeters. If 1
    5·1 answer
  • Determine whether the
    14·1 answer
  • I NEED THIS ASAP PLEASE
    9·1 answer
  • Round the number to the nearest​ hundred-thousandth. 2.62958379
    5·1 answer
  • Use the function below to find F(-2) <br> F(X)= 3^x
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!