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
Snezhnost [94]
3 years ago
7

Using the given information, give the vertex form equation of each parabola.

Mathematics
1 answer:
elena-s [515]3 years ago
3 0

Answer:

The answer to your question is   y = 2(x + 8)²

Step-by-step explanation:

This is a vertical parabola that opens upwards

The distance from the vertex to the directrix is 1/8 so p = 1/8.

Equation

                 (x - h)² = 4p(y - k)

h = -7

k = 0

p = 1/8

Substitution

              (x + 8)² = 4(1/8)(y - 0)

Vertex form equation

              (x + 8)² = 1/2(y)

              y = 2(x + 8)²

              x² + 16x + 64 = 1/2y

              2x² + 32x + 128 = y

General equation

              2x² + 32x - y + 128 = 0

You might be interested in
A box in the shape of a rectangular prism has a volume of 96 cubic feet. The box has a length of (x+8) feet, a width of x feet,
anygoal [31]
96=(x+8)*x*(x-2)=x^3 +6x^2 -16x. Solve to get x= -6,-4,4. Negative distance doesn't make sense, so x=+4. Therefore, length is (x+8)=(4+8)= 12, width=x=4, and height=(x-2)=(4-2)=2.
3 0
3 years ago
0.08=2q one step equation
Elina [12.6K]
Divide both sides by 2

q = 0.04

7 0
3 years ago
Ari buying 10 1/2 feet of rope that costs $5.25 per foot.How much will Ari spend?
lapo4ka [179]

Answer:

55.13

Step-by-step explanation:

10×5.25 = 52.50

52.50+2.63= 55.13

8 0
3 years ago
Helpppp its timeedd Write the equation
Veronika [31]

Answer:

Blue

Step-by-step explanation:

Hope this helps you out

7 0
3 years ago
Read 2 more answers
1. The graph below shows the past 9 months of sales for the Carver Cars company. у Carver Cars Sales Car Sales (in dollars) 200,
motikmotik

Answer:

$170,000 D. $800,000​

Step-by-step explanation:

$170,000 D. $800,000​

5 0
3 years ago
Other questions:
  • there are 5 dogs, 8 cats, and 2 birds for sale at the pet store. what is the ratio in simplest form of birds to cats?
    12·2 answers
  • Lauren and Bruce's bread recipe calls for 6 cups sifted flour .how much flour with they use if they make only 2/3 of the recipe?
    6·2 answers
  • A school band has 64 members. The band marches in the shape of a rectangle.
    11·2 answers
  • Selena rides her bicycle to work. It takes her 15 minutes to go 3 miles. How many feet will she travel in 3 minutes
    8·2 answers
  • What is the surface area of the sphere?
    11·2 answers
  • Write the following inequality. You are not solving it, just writing it.
    10·2 answers
  • How many thousands are in 20 hundreds?
    6·1 answer
  • A container holds 54.6 gallons of liquid. The container leaks 8.4 gallons per hour.
    12·1 answer
  • Write an equation using “x” and then solve the equation. The rate charged for a standard room is $250 dollars. A couple stayed i
    9·1 answer
  • If f(x) = 3x+2, find f(f¹(14))
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!