Write the equation of the parabola in vertex form.
vertex (0,3), point (1,-4)
f(x) =

Answers

Answer 1

Answer:

           f(x) = 7x² + 3

Step-by-step explanation:

vertex form of an equation of the parabola:  

f(x) = a(x - p)² + q

vertex (0, 3)  ⇒  p = 0,  q = 3

so:

   f(x) = a(x - 0)² + 3

    f(x) = ax² + 3

the parabola goes through point (1, -4)  ⇒  x=1,  f(x)=-4

   -4 = a(1)² + 3

   -4 = a + 3

    a = 7

Therefore the equation of the parabola in vertex form:

f(x) = 7x² + 3


Related Questions

The best approximation for sqrt 10 is
25 3.1 5 10”

Answers

Answer:

3.1

Step-by-step explanation:

Use the distributive property to simplity 3 (4x + 8).
7x+8
7x + 24
12x + 8
12x + 24

Answers

Answer:

d) 12x + 24

Step-by-step explanation:

D- 12x + 24
Explanation:

Answer of 18x2+3x-15 with solution

Answers

Answer:

-9

Step-by-step explanation:

Hope this helps

It might be hard to see but please help me out!

Answers

Answer:

X: (-2)   (-1)    (0)      (1)      (2)

y: (5)     (4)    (5)      (8)     (13)

Step-by-step explanation:

╰(▔∀▔)╯   (─‿‿─)    (*^‿^*)    ヽ(o^ ^o)ノ    (✯◡✯)    (◕‿◕)    (*≧ω≦*)

What is 2+2 how do you know?

Answers

Answer:

is 4

Step-by-step explanation add

The graph of y= f(x) determine f (x) = 3

Answers

Answer:

-3

because f(x)= y then y =3

therefore if we find point 3 on y axis and then see which point is on the horizontal line of 3 which is -3

hope this helps you.

14. You traveled 48 miles less than your friend Pablo. If you traveled 117 miles how
many miles did Pablo travel? Find your solution

Answers

Answer:

165 miles

Step-by-step explanation:

117 + 48 = 165

what he said ^

he got it right.

A calculator screen shows a number in scientific notation as 4.8E9. Write this number in standard form.

Answers

Answer:

4.8 x 10^9

Step-by-step explanation:

E9 is 10 raised to the power of 9

Scientific notation requires you to write a number from 1 to 10 then multiply it by 10 raised to a number x.

In this case:

4.8E9 = 4,800,000,000

Number between 1 and 10 = 4.8

Number of zeroes = 8 but because you have to multiply 4.8 times 10 to get 48 the answer is 4.8 x 10^9... so one extra 10... 1+8=9

Hope you understand

“There shall be a firm and perpetual Peace between his Brittanic Majesty and the said States… all Hostilities both by Sea and Land shall from henceforth cease: All prisoners on both Sides shall be set at Liberty.”

4. This excerpt would be found in which historical document?

Answers

Answer:

Treaty of Paris (1783

Step-by-step explanation:

Some of the treaty key points are;

The aim of the parties to "forget" previous disputes and controversies and to gain "perpetual peace and harmony"

1) The acknowledgement of the United States as a sovereign state

2) The United States boundary establishment

3) The right to fish granted to the United States fishermen

4) Debt settlement of lawful contracts on either side

5) Prisoners of war are to be released

6) Protection of property of Loyalists by the United States.

Solve for x, Solve for z, and Solve for y

Answers

Answer:

x=38 degrees, y=41 degrees, z=97 degrees

Step-by-step explanation:

The Triangle Angle-Sum Theorem states that all interior angles of a triangle will add up to 180 degrees.

Look at the triangle to the right. The missing value of x will complete the theorem, therefore the equation 59+83+x=180 will find x. x=38 when we solve the equation.

The triangle on the left has two missing variables, but since angles z and 83 degrees are supplementary to each other, we can make another equation z+83=180 since supplementary angles add up to 180 degrees. z=97 when we solve the equation.

Since we have z, we can now find the value of y given the Triangle Angle-Sum Theorem. The equation would be 42+97+y=180 so we can solve for y. y=41 when we solve the equation.

Answer:

x=38

z=97

y=41

Step-by-step explanation:

What is the value of f(4)?
-1
О
2
4

Answers

The value of f(4) if 4

2 tons of bark cost $9,960.00. What is the price per ounce?

Show work plz

Answers

Answer:

0.155625 or .16 cents per ounce

Step-by-step explanation:

2 tons is 64000 ounces so 9960 divided by 64000 is .155625

PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELP MEEEEE

Answers

Answer:

B

Step-by-step explanation:

$30 X x number of lbs + 2 for shopping when x pounds are greater than 0 and less than 10 and 24 dollars X x number of pounds + 6 for shipping when x lbs are greater than or equal to 10.

Danielle answered 24 out of 30 questions correct on her Math test and
21 out of 25 questions correct on her Science test On which test did she
Score higher?​

Answers

Answer:

Science

Step-by-step explanation:

To calculate the percentages, divide the amount of correct answers by the amount of questions there are.

Math:

24/30=.8=80%

Science:

21/25=.84=84%

The science score is 4% higher.

Real quick question. need help plz

Answers

Add them all up and subtract it from 360

All figures with 4 sides have a total of 360 inside it.

which number is in the tenths place value for the number 0.831

Answers

Answer:

8

I hope this helps!

Answer:

The number 8.

Step-by-step explanation:

The digit in the tenths place is 8. The tenth place is the first digit on the right side of a decimal point. 0.831

Pls help as soon as possible

Answers

Answer:

C

Step-by-step explanation:

The answer is c rational numbers

Solve for z -7z/35=3

Answers

Answer:

Z= [tex]-\frac{3}{245}[/tex]

Step-by-step explanation:

Anyone get this please help me

Answers

Answer:

AOB = -8x + 68

Step-by-step explanation:

AOC = 40°

BOC = 8x - 28

Angle Addition Theorem:

AOB + BOC = AOC

AOB + (8x - 28) = 40

AOB + (8x - 28) + 28 = 40 + 28

AOB + 8x - 8x = 68 - 8x

AOB = -8x + 68

AOB + BOC = AOC

(-8x + 68) + (8x - 28) = 40

-8x + 8x + 68 - 28 =40

0x + 40 = 40

40 = 40

Solve for z:

3z +4= 5z+ 2

z=1
z = 3
z= 2

Answers

The answer is z=1
Explanation:

3(1) +4= 5(1)+ 2  = 7=7

3(3) +4= 5(3)+ 2  = 13=17

3(2) +4= 5(2)+ 2   = 10=12

If An=An−1 + 4 and A5 = 12, what is A7?

Answers

Answer:

The frequency of A7, which is two octaves above A5, is 3520 (880 x 2 x 2) Hz. The octave term is used in the musical composition to relate the same notes in the higher or lower scale of notes. The note in the one octave higher scale have a doubled frequency than in the neutral scale and The note in the one octave lower scale have a half frequency than in the neutral scale.

Step-by-step explanation:

MARK BRAINLIEST PLEASE!!!!!!!

1) Jesse agrees to watch his friend's dog, Spot. His friend leaves 119 ounces of
Spot's dog food for the week. How much food will Spot eat each day?

Answers

Answer:

17 ounces

Step-by-step explanation:

you first divide 119÷7 = 17 which is your answer

What of the following statements describes a zero slope? Check all that apply.
The line goes up when moving right to left.
The line goes down when moving right to left.
The line is horizontal.
The line is vertical.
The run is zero.
The rise is zern

Answers

Answer:

A,D,E

Step-by-step explanation:

Answer:

A) The line goes up when moving right to left

False. The slope being zero means there is no change in elevation or height. The line is completely flat and horizontal. Recall that slope = rise/run. If the slope is 0, then the rise must be 0.  

B) The line goes down when moving right to left.

False. The same reasoning as choice A

C) The line is horizontal

True. Any line with a slope of zero is going to be horizontal. For instance, the equation y = 0x+5 is the horizontal line through 5 on the y axis.  

D) The line is vertical

False. This contradicts choice C above. Vertical lines have undefined slopes which aren't numbers due to the fact we cannot divide by zero.  

E) The run is zero

False. The run can be any number but zero. For example, slope = 0 = 0/1 or 0 = 0/5. Dividing zero over any nonzero number leads to 0.

F) The rise is zero

True. As mentioned before in previous answer choices (see choice A in particular).  

===========================================

In summary, there are only two true statements and they are choice C and choice F. The other statements are false.

Step-by-step explanation:

Which is a graph of y = -2x + 3

Answers

A graph that has a y-intercept at 3 and goes down by 2
Hope it helps :)
y=-2X+3

if the angle HMA is a right angle, the measure of angle SMH = 66 degrees, and angle SMH is complementary to angle HME, find the measure of angle SMA

Answers

Answer:

SMA= 24 degrees

Step-by-step explanation:

add the other given angles together: 66 + 90= 156

subtract 158 from 180 (every triangle has a total of 180 degrees): 180-156 = 24

Which answer shows a two-step equation? a.3-n=18 b. r+ 8 = 9 c. 5x = 12 d. s – 15 = 6​

Answers

A because of the x value and the 3 equally the 18

What is 1748 divided by 53 I’m not very sure please help ASAP

Answers

32.98 is the answer to that question

Answer:

32.9811320755

Step-by-step explanation:

Written out it is 32.9811320755 but the way i thing that your test or question will take is is 32.98

what is answer 4x2 + 32xy ?

Answers

8(1 + 4y)

skdmdkcmdkcmdkcmdkc
8 (1+4xy)

Ex.
4x2 +32xy
8+32xy
= 8 (1+4xy)

emily can ride her scooter 18 miles in 50 minutes . how long would it take her 4 miles?

Answers

Answer:

11 minutes rounded up

Step-by-step explanation:

how many solutions does
-8x-3x=-11x
have?​

Answers

Answer:

Infinite solutions

Step-by-step explanation:

Hi there !

- 8x  - 3x = - 11x

- 11x = - 11x

Infinite solutions

Good luck !

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