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
netineya [11]
3 years ago
5

If the vertex of a parabola is (-4, 6) and another point on the curve is (-3, 14), what is the coefficient of the squared expres

sion in the parabola's equation?
Mathematics
1 answer:
Luda [366]3 years ago
8 0
\bf \qquad \textit{parabola vertex form}\\\\\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array}\qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex\ (-4,6)\qquad 
\begin{cases}
h=-4\\
k=6
\end{cases}\implies y=a(x-(-4))^2+6
\\\\\\
y=a(x+4)^2+6
\\\\\\
\textit{we also know that }
\begin{cases}
x=-3\\
y=14
\end{cases}\implies 14=a(-3+4)^2+6

solve for "a"
You might be interested in
The number of employees for a certain company has been decreasing each year by ​4%. If the company currently has 710 employees a
Arte-miy333 [17]

Answer:

Answer is A

Step-by-step explanation:

4 0
3 years ago
Let m = X^2 + 3.
Tpy6a [65]

The Equation in terms of m, m^2+7m+10=0

What is substituting in the equation ?

substituting means changing or replacing the values in the given equation.

Calculation:

Given equation is (x^2+3)^2+7x^2+21=-10

            and m= X^2 + 3.

make the given equation in the form X^2 + 3,

             now,

                     (x^2+3)^2+7x^2+21=-10

                     (x^2+3)^2+7(x^2+3)=-10

             where,

                      X^2 + 3= m

              after putting the value or replacing the values

             we get, m^2+7m=-10

                      m^2+7m+10=0

          the above equation is in the form of "m".

The Equation in terms of m, m^2+7m+10=0

Leran more about substitution here:

brainly.com/question/24094293

#SPJ1

4 0
2 years ago
Stuart Rosenblatt earned a gross salary of $800 in one week. He received a paycheck that showed that taxes and other deductions
Artist 52 [7]

Answer: 875.25        

How I got my answer: 800-206.75+82+200= 875.25

7 0
3 years ago
How many 1-in. cubes can fit into a 2 by 4 by 2 in.<br>prism?​
wel

Answer:

16

Step-by-step explanation:

The dimensions of the base of the prism are 4" by 2"; the height is 2".

Looking at the base, we see that (4)(2), or (8) 1" cubes would cover it exactly and wholly.  We'd have a 3-dimensional prism with one layer of 1" cubes.

Now if we add a second layer right on top of the first layer, we'd have used (16) 1" cubes.

3 0
3 years ago
Read 2 more answers
The first problem. Divide
4vir4ik [10]
Th answer is x-2.hope this helps
5 0
3 years ago
Other questions:
  • Which of these are inequalities? choose 3 ​
    5·1 answer
  • Draw a graph of this linear inequality y&lt;2
    9·1 answer
  • How do I find the angle measure for 2?
    5·1 answer
  • Travel 804 miles in 16 hours
    8·1 answer
  • State the correct polar coordinate for the graph shown. It is not the option selected.
    8·1 answer
  • In the diagram, is a diameter of the circle with center O. If m = 50°, what is m?
    11·1 answer
  • What are the answers to these
    8·1 answer
  • Pleaseeee helppp meee!!!!
    12·1 answer
  • What is the value of p in the equation <img src="https://tex.z-dn.net/?f=.34p%2B.49f%3D5" id="TexFormula1" title=".34p+.49f=5" a
    12·1 answer
  • martin makes $20 for every 5 bags of recycled items he collects. Last weekend he collected 32 bags of recycled items. how much d
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!