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
Alexandra [31]
2 years ago
15

suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1). Write the eq

uation of the parabola in vertex form
Mathematics
1 answer:
lesya [120]2 years ago
8 0

Answer:

<h3>            f(x) = - 3(x + 8)² + 2</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k   - the vertex form of the quadratic function with vertex    (h, k)

the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8

the <u>maximum height of 2</u> means  k = 2

So:

f(x) = a(x - (-8))² + 2

f(x) = a(x + 8)² + 2   - the vertex form of the quadratic function with vertex   (-8, 2)

The parabola passing through the point (-7, -1) means that if x = -7 then        f(x) = -1

so:

    -1 = a(-7 + 8)² + 2

 -1 -2 = a(1)² + 2 -2

      -3 = a

Threfore:

The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:

                                 <u>f(x) = -3(x + 8)² + 2</u>

You might be interested in
Calculate the volume, in cubic centimeters, of a box which is 125 cm long, 37 cm wide, and 68 cm high. Report your answer with c
viva [34]

Answer:

Volume = 314500cm^3

Step-by-step explanation:

Given

Length = 125cm

Width = 37cm

Height = 68cm

Required

Determine the volume

Volume is calculated as:

Volume = Length * Width * Height

Substitute values for Length, Width and Height

Volume = 125cm * 37cm * 68cm

Volume = 314500cm^3

<em>Hence, the volume of the box is </em>314500cm^3<em></em>

6 0
3 years ago
Every _____ tessellates
Charra [1.4K]

Answer:

Every <u>hexagon </u>tessellates.

Step-by-step explanation:

Hexagons always tessellates when perfectly combined and aligned especially when the x sides and the y sides are parallel to each other.

4 0
3 years ago
Which point on the number line below best represent 30
san4es73 [151]
Where’s the number line?
5 0
3 years ago
Read 2 more answers
Rewrite the expression 4+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B16-%284%29%285%29%7D" id="TexFormula1" title="\sqrt{16-(4)(
Inessa05 [86]

Answer:

2+i

Step-by-step explanation:

Given the expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}

To find:

The expression of above complex number in standard form a+bi.

Solution:

First of all, learn the concept of i (pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by i.

Value of i =\sqrt{-1}.

Now, let us consider the given expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i

So, the given expression in standard form is 2+i.

Let us compare with standard form a+bi so we get a =2, b =1.

\therefore The standard form of

\dfrac{4+\sqrt{16-(4)(5)}}{2}

is: \bold{2+i}

8 0
2 years ago
Which phrase represents the algebraic expression 3p+6/7p-9
omeli [17]

Answer:

The answer is the sum of three times a number and six, divided by the difference of seven times the number and nine

Step-by-step explanation:

3p = three x a number

7p = seven x a number

3p+6 = sum of three x a number plus six

7p-9 = difference of seven x the number minus nine

(3p+6)/(7p-9) = sum of three times x number plus six, divided by the difference of seven x the number - nine

7 0
3 years ago
Other questions:
  • Julie earned $25 this is 5 times as much as what Lisa earned how much did Lisa earn
    13·2 answers
  • There is a 22% chance it will rain tomorrow. What is the chance it will stay dry? Show your work please!
    15·2 answers
  • the cafeteria has 45 square  tables that can be pushed together to form one long table for the lacrosse team's banquet. Each squ
    12·2 answers
  • Plz answer all measures plz ASAP thx
    10·2 answers
  • PLEASE HELP...:(..Deena has a tool box in the shape of a right rectangular prism. The volume of the tool box is 0.375 ft³. The h
    7·1 answer
  • OMG HELP PLEASE!!!!!!!!!!
    13·2 answers
  • Graph the equation.<br> y= 5(-1)2 – 5
    11·1 answer
  • Draw two different rectangles with the perimeter p=24 feet.find the areaof each rectangle.
    5·2 answers
  • 1) If 2/7gallon of paint covers 1/5 of a wall, then how much paint is needed to cover
    10·1 answer
  • Distribute then combine like terms : 0.2(3b-15c)<br>​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!