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
Brums [2.3K]
2 years ago
13

Rewrite the quadratic function in vertex form. Y=3x^2-12x+4

Mathematics
1 answer:
chubhunter [2.5K]2 years ago
4 0

Answer:

\large\boxed{y=3(x-2)^2-8}

Step-by-step explanation:

The vertex form of an equation of a parabola y = ax² + bx + c:

f(x)=a(x-h)^2+k

(h, k) - vertex

h=\dfrac{-b}{2a},\ k=f(h)

We have the equation:

y=3x^2-12x+4\\\\a=3,\ b=-12,\ c=4

Substitute:

h=\dfrac{-(-12)}{2(3)}=\dfrac{12}{6}=2\\\\k=f(2)=3(2^2)-12(2)+4=3(4)-24+4=12-24+4=-8

Finally:

y=3(x-2)^2+(-8)=3(x-2)^2-8

You might be interested in
-7x+4y=24, 4x-4y=0 substitution
BartSMP [9]
The first one: -7(x) + 4(y) = 24
The second one: 4(x) - 4(y) = 0

4y - 7x = 24 which is reduced to a negative
(-4y + 4x = 0 )


4(x) = 4(y)

-7(y ) + 4(y) = 24  
- 3(y) = 24

3(y) = - 24 


y-intercept: - 8 
x-intercept: -8

The X & Y intercept is: -8, -8



8 0
3 years ago
Solve x^4-10x^2+9=0 <br> please and thank you
Sloan [31]

Answer:

1,3

Step-by-step explanation:

=(x^2-1)(x^2-9)=0

x=1,x=3

5 0
3 years ago
Austin is paid a salary of $475 weekly. Find the Austin’s earnings per year
nordsb [41]
Assuming there are no breaks, there are 52 weeks in a year so 475(52)= 24700
7 0
2 years ago
Choose the option that correctly completes the statement.
Tresset [83]

The answer is:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

8 0
3 years ago
Question 18 (1 point)
neonofarm [45]

Answer:

nsnsjksowwwwwwwwwnwbanansnsn

Step-by-step explanation:

67118/5261717=722282.622

7 0
3 years ago
Other questions:
  • 4, 16, 13, 52, 49, 196, 193, 772, _<br><br> What comes next?
    7·1 answer
  • Simplify the radical expression -4√160<br> A: -4√16<br> B: √10<br> C: -16√10<br> D: -4√80
    10·1 answer
  • Admission to fair costs $8.75. Each ride costs &amp;0.50 to ride. You can spend at most $16. Write and solve an inequality to re
    10·1 answer
  • an aquarum has 29 large fish tanks and 1,423 fish need to go into it if the owner wants to split them evenly what is the greates
    14·1 answer
  • In a certain region of the country it is known from past experience that the probability of selecting an adult over 40 years of
    7·1 answer
  • WILL GIVE BRAINLIEST!!!
    12·1 answer
  • Put this equation, x^3-x^6+x^8-5 in standard form.
    11·1 answer
  • I WILL GIVE 100 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS. What goes in the blank?
    15·1 answer
  • A line passes through the point (-5,-1) and has a slope of 4
    14·2 answers
  • Helpppppppppppppppppppppppp
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!