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
denis23 [38]
2 years ago
6

Write a quadratic function in vertex form whose graph has the vertex

Mathematics
1 answer:
ELEN [110]2 years ago
4 0

Answer:

y = \frac{1}{2}(x - 5)² - 2

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (5, - 2), thus

y = a(x - 5)² - 2

To find a substitute (7, 0) into the equation

0 = a(7 - 5)² - 2

0 = 4a - 2 ( add 2 to both sides )

2 = 4a ( divide both sides by 4 )

a = \frac{2}{4} = \frac{1}{2}

y = \frac{1}{2} (x - 5)² - 2 ← in vertex form

You might be interested in
Help pls. it’s due in an hour :(
Julli [10]
X is 16

hope this helps
4 0
2 years ago
Read 2 more answers
Complete the following statements.
stiv31 [10]

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  67.62 fluid ounces of liquid.

The soda bottle contains 0.525  gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8  quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

1)

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains -------  fluid ounces of liquid.

  • Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So,  2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

  • Converting liters to gallons

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

1 quarts = 1/4 gallon

2.1 quarts = 1/4 * 2.1 = 0.525 gallon

The soda bottle contains 0.525  gallons of liquid.

2)

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

  • Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------  liters of milk.

  • Converting gallons to liters

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

6 0
2 years ago
Jake drew an isosceles right triangle. What are the measures of the two acute angles? How do you know?
scoray [572]
SO you know that triangles add up to 180. A right angle equals 90 so 180-90=90. And an isosceles triangle means that 2 angles are congruent. SO 90/2 = 45. The measure of the 2 acute angles are 45
8 0
3 years ago
Patti is using beads to make anklets. Each anklet needs 9 beads, and Patti has 67 beads. How many of her beads will not be used?
Andreyy89

Answer:

4

Step-by-step explanation:

she can use all 63 beads because 67 divided by 9 is 7 remainder 4

8 0
2 years ago
Read 2 more answers
Round the number 2,787 to the nearest hundred​
miskamm [114]

Answer:

2,800

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is the volume of the cylinder?
    5·2 answers
  • There are 20 nickels in one dollar write an equation to find the number of nicked n in any number of dollars d
    5·1 answer
  • Write and solve a proportion to find the height of the building.
    14·2 answers
  • The sum of the interior angles of a polygon is 1620 how many sides does the polygon have
    14·2 answers
  • Find the area of a circle with radius 2cm, leave your answer in terms of pi
    14·2 answers
  • Which equation represents the line that has a slope of -2 and passes through the point (6,5)?
    9·1 answer
  • Triangle KMZ~ triangle KDH; find x
    14·1 answer
  • #5 please, multiple response !
    5·1 answer
  • The local baseball team won the national championship last year. At the start of the baseball season, shirts signed by the team
    10·1 answer
  • Can someone please solve
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!