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
Aleks [24]
3 years ago
8

What’s the vertex form of F(x)=x^2+2x-3

Mathematics
1 answer:
kupik [55]3 years ago
4 0

Answer:

\large\boxed{f(x)=(x+1)^2-4}

Step-by-step explanation:

\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================

\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================

\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4

You might be interested in
there are 18 male students and 13 female students in form 1 orchid. each male student pays RM 8 for each sports shirt and each f
pychu [463]

Step-by-step explanation:

18×RM 8= RM 144

13× RM 11=RM 143

RM 144+143= RM 287

are u Malaysian too? coz I'm one hehe

8 0
2 years ago
Read 2 more answers
Simplify 3 square root of 512
Karolina [17]

Answer:

8

Step-by-step explanation:

not sure if this is what ur looking for sorry

7 0
2 years ago
Read 2 more answers
What is b?<br> 6/8 = 21/b
padilas [110]

Answer:

b = 28

Step-by-step explanation:

8*21 then 168/6 = 28

4 0
3 years ago
Read 2 more answers
Using the formula C = 2πr, find the circumference of a circle with diameter of 28 inches. Round your answer to the nearest inch.
Paraphin [41]

Answer:

88 inches

Step-by-step explanation:

Diameter is 2 times the radius (r) so divided 28 by 2 to get 14 as the radius.

Plug this in:

2π14

28π

87.964

88

6 0
3 years ago
Read 2 more answers
Which of the k values are solutions to the following equation?<br> k2 = 0.49
madam [21]
C and D bc +-0.7 is the answer
but because there no answer which contains both i think u should mark E
7 0
2 years ago
Read 2 more answers
Other questions:
  • Which expression has a value of 32 when m = 8?
    12·2 answers
  • If 5 cans of dog food are 7.75'what is the cost of 20cans
    11·2 answers
  • Carmen has 432 points, and Karissa has 563. how many points does carmen need so that she has more points than Karissa?
    7·2 answers
  • PLEASE HELP!!!!!!<br> given that f(x)=3x-1 over 2
    11·1 answer
  • Calcula la suma de los ángulos internos de los siguientes polígonos:
    11·1 answer
  • Find the value of 2 raise the power negative 6​
    5·1 answer
  • Two sons shared ₦14,000 in the ratio of 4 ratio 3 what are their respective shares<br>​
    6·1 answer
  • What is the slope? Please Help
    12·2 answers
  • ??????????????????????????????
    6·2 answers
  • Which of the following functions has an initial value of -1/2 and a rate of change of 0?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!