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
bija089 [108]
3 years ago
9

suppose a parabola has a vertex of (-4 7) and also passes through the point (-3,8). what is the equation of the parabola in vert

ex form
Mathematics
2 answers:
jasenka [17]3 years ago
8 0
The equation would be y = (x+4)² + 7

Because adding 4 to 'x' creates a transformation 4 units left and adding 7 to the whole function moves the parabola up 7

Hope this helps!
AVprozaik [17]3 years ago
4 0

Answer:

y=(x+4)^2+7

Step-by-step explanation:

We are given that vertex of parabola is (-4,7).

We have to find the equation of parabola in vertex form which passing through the point (-3,8).

We know that general equation of parabola in vertex form

y=a(x-h)^2+k

Where vertex is (h,k).

Substitute the values

y=a(x+4)^2+7

Parabola passing through the point (-3,8) then we get

8=a(-3+4)+7

8=a+7

a=8-7=1

Substitute the value then we get

Equation of parabola in vertex form

y=(x+4)^2+7

You might be interested in
Adam’s car traveled 465.3 miles on 16.5 gallons of gas. Which equation can be used to determine the average number of miles that
Nostrana [21]

Answer:

y=28.5x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

In this problem

Let

x------> the number of gallons

y------> the number of miles

the relationship between the number of miles and the gallons of gas represent a linear direct variation

The constant of proportionality k is equal to the slope m

m=\frac{465.3}{16.5}= 28.2\frac{miles}{gallon}

therefore

the equation of the linear equation

y=28.5x


5 0
3 years ago
Read 2 more answers
A boat drops an anchor 17.5 feet to the bottom of a lake.If the anchor falls at a rate of .07 feet each second how long will it
Serhud [2]

Answer:

25 Seconds.

Step-by-step explanation:

You need to know how many seconds it takes to read the bottom of the lake.

If, each second, the anchor is falling 0.7 feet, then you need to know how many times it falls 0.7 feet.

This is done by dividing 17.5 by 0.7, which is 25 seconds.

4 0
3 years ago
Jennie's car averages 35 mile p gallon , gas is 2.56 p gallon what is the cost p mile ?
noname [10]

Answer:12

Step-by-step explanation:

Trust me bro

4 0
3 years ago
Find the rate and unit rate:
Alenkinab [10]



A: 24 miles per 1 gallon
5 0
2 years ago
Read 2 more answers
Write an exponential model given the points ( 7, 12 ) and ( 8, 25 ). Round to the nearest hundredth.
inna [77]

Answer:

The exponential model is y = 0.07\cdot e^{0.73\cdot x}.

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

y = A\cdot e^{B\cdot x} (1)

Where:

x - Independent variable.

y - Dependent variable.

A, B - Coefficients.

If we know that (x_{1}, y_{1}) = (7,12) and (x_{2}, y_{2}) = (8,25), then we get the following system of equations:

A\cdot e^{7\cdot B} = 12 (2)

A\cdot e^{8\cdot B} = 25 (3)

If we divide (3) by (2), we calculate the value of B:

e^{B}=\frac{25}{12}

B = \ln \frac{25}{12}

B \approx 0.734

And by (2), we determine the value of A:

A = 12\cdot e^{-7\cdot B}

A = 0.0704

The exponential model is y = 0.07\cdot e^{0.73\cdot x}.

4 0
2 years ago
Other questions:
  • How do you turn 26.2 into a fraction
    11·2 answers
  • Rudys hair grows at the ratę of 1/4 inch per month. How many months will it take rustys hair to growm5/8 inch
    9·1 answer
  • In ΔUVW, the measure of ∠W=90°, WV = 40, UW = 9, and VU = 41. What is the value of the sine of ∠V to the nearest hundredth?
    15·1 answer
  • Department started out with 100 pencils and 200 pens during the lat quarter of this year they lost 4% of the pens and 2% of the
    7·1 answer
  • 7.4 multiply by what is equal to = 24
    11·1 answer
  • What is the number 4,305,012 written in expanded form
    5·1 answer
  • PLEASE HELP!! DUE SOON :(
    12·1 answer
  • Simplify:<br> - (8 – x)
    15·1 answer
  • Which of the following graphs could represent a quartic function?
    12·2 answers
  • 1+1-1×1÷1 = ?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!