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
MAVERICK [17]
3 years ago
14

Find the vertex of this parabola. y=-2x+4x+12

Mathematics
2 answers:
kolbaska11 [484]3 years ago
8 0

Answer:

Vertex of the parabola is ( 1 , 14 ).

Step-by-step explanation:

Given Equation of parabola is y=-2^2+4x+12

We have to find the vertex of the parabola.

We first convert the given equation of parabola in standard equation of parabola using completing the square method.

Standard equation of parabola,

(x-h)^2=4a(y-k)  

here, ( h , k ) is coordinates of the vertex of the parabola.

consider,

y = -2x² + 4x + 12

y = -2( x² - 2x - 6 )

y = -2 ( x² - 2x  + 1² - 1² - 6 )

y = -2 ( x -1 )² - 7 × ( -2 )

y - 14 = -2 ( x - 1 )²

(x-1)^2=\frac{1}{2}(y-14)

By comparing,

vertex = ( 1 , 14 )

Therefore, Vertex of the parabola is ( 1 , 14 ).

katrin [286]3 years ago
5 0

Answer:

(1,14)

Step-by-step explanation:

You might be interested in
Shawn incorrectly graphed the inequality -x-2y≥8 as shown below Explain shawn mistake ​rotate phone if u need to
Aleks04 [339]

Answer:

He failed to flip the inequality

y ≤-1/2x-4

Step-by-step explanation:

-x-2y ≥8

Add x to each side

-x+x-2y ≥x+8

-2y ≥x+8

Divide by -2.  Remember to flip the inequality

-2y/-2 ≤-1/2 x +8/-2

y ≤-1/2x-4

Shawn shaded the wrong side of the line.

Y is less than or equal to .  He failed to flip the inequality

3 0
3 years ago
Select two ratios that are equivalent to 4:18
steposvetlana [31]

Answer:

2:9

Step-by-step explanation

4:18 divided by 2 is the lowest it can go so 4 divided by 2 is 2

18 divided by 2 is 9 so,

2:9

4 0
3 years ago
Read 2 more answers
Sides of a square is 3^2/7 what is the area of the square
nydimaria [60]
Area  = square of the measure of a side =   3^(2/7) * 3^(2/7)  

=  3 ^(2/7 + 2/7)  = 3^(4/7)

Option 2
6 0
3 years ago
Mr.Fields ordered 3 tons of gravel for a drive way at a factory.how many pounds of gravel did he order?
soldi70 [24.7K]
Mr.Fields would have 6,000 pounds

4 0
3 years ago
Could someone help me with 4 pls nd thanks
NISA [10]

Answer:

6.00

6.75

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Which expressions are equivalent to 35 + 30s - 45t?
    10·2 answers
  • How much money is 10% of $500?
    11·1 answer
  • How many inches will it be 54in by 42in
    10·1 answer
  • For the line = 36.5 + .48x, how do you interpret the value .48?rnrm.gif A. It's the amount of change in y when x increases by on
    15·1 answer
  • Identify the dependent and independent variables: bicep size and the amount of time spent weightlifting at the gym. Choose all t
    7·1 answer
  • A TV has an original price of $499. Enter the new price after the given percent of change.
    7·1 answer
  • help me PIZThis is a picture of a cube and the net for the cube.What is the surface area of the cube? k12
    12·1 answer
  • A board that is 4 1/2 feet long weighs 7 1/5 pounds. How much would one foot of the board
    6·1 answer
  • Solve for the value of T
    13·2 answers
  • Suppose that the weight (in kilograms) of an airplane is a linear function of the amount of fuel (in liters) in its tank. When c
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!