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
Andre45 [30]
3 years ago
8

What is the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 )?

Mathematics
1 answer:
vlada-n [284]3 years ago
4 0

Answer:

<u>y = -x² + 4</u>

Step-by-step explanation:

The equation of the parabola in the vertex form is:

y = a (x-h)² + k

Where: (h,k) the coordinates of the vertex & a is a multiplier

The parabola has a vertex at ( 0,4 )

So, h = 0 , k = 4

∴ y = a (x-0)² + 4

∴ y = a x² + 4

The parabola passes through points ( 2,0 )

∴ 0 = a 2² + 4

∴ 4 a = -4  ⇒ a = -4/4 = -1

∴ y = -x² + 4

So, the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 ) is <u>y = -x² + 4</u>

See the attached figure.

You might be interested in
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
aalyn [17]

Answer: C) Next year, 7 out of every 60 students will be taking music.

Step-by-step explanation:

A is wrong because it is an opinion which a table cannot prove.

B is wrong because it says "A representative sample of 60 students) while the answer incorrectly says 30.

C is correct because on the table it says 7 people are taking music and correctly identifies that it's out of 60 students.

D is incorrect for the same reason B is incorrect except this time it says 120.

8 0
3 years ago
Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ
Free_Kalibri [48]

Answer:

y = -2x - 2

Step-by-step explanation:

From the graph attached,

If the line 'l' passes through two points A(0, -1) and B(4, 1).

Rule for the rotation of any point (x, y), 90° clockwise about the origin is,

(x, y) → (y, -x)

By this rule,

A(0, -1) → A'(-1, 0)

B(4, 1) → B'(1, -4)

Let the equation of the line A'B' is,

y - y' = m(x - x')

where m = slope of the line A'B'

And (x', y') is a point lying on the line.

Slope of the line passing through A' and B' will be,

m = \frac{y_2-y_1}{x_2-x_1}

m = \frac{0+4}{-1-1}

m = -2

Therefore, equation of the line passing through (-1, 0) and slope = -2,

y - 0 = (-2)(x + 1)

y = -2x - 2

So the equation of the line after rotation of lie 'l' by 90° clockwise will be,

y = -2x - 2

7 0
2 years ago
Marcus has 1,525 marbles and divides the marbles into 15 bags to seal each bag. How many marbles are in each bag and how many ma
Dmitry_Shevchenko [17]

Answer:

There are 101 marbles in each bag and 10 marbles left over

Step-by-step explanation:

We can use the modulus to find out left over. The modulus is the remainder of the division from one number by another number. For example, 7 % 2 = 1. When you divide 7 by 2, division is 3 but the remainder is 1.

1525 % 15 = 10 marbles are left over

Now, we know that 1525 - 10 = 1515 marbles are equally put into each bag. That means each bag contains

1515 / 15 = 101 marbles

8 0
2 years ago
All of the x value are called<br>​
Vlada [557]

Answer:

Variables

Step-by-step explanation:

4 0
3 years ago
How do I solve this problem?
Paraphin [41]

Answer:

4

Step-by-step explanation:

17-5=12/3=4 so yeah that is all you need to know

4 0
2 years ago
Read 2 more answers
Other questions:
  • If m triangle fgh=60 what is the value of x?
    9·2 answers
  • What is the value of the expression <br> (-1.25)(.5)(4)
    7·1 answer
  • What number is it? the difference of 9 and three times equals 69. find the number
    15·1 answer
  • How many solutions (out of of those three answer choices)
    13·2 answers
  • Oliver needs to save at least $1500 to buy a computer. He has already saved $650. How much more does he need to save? Write and
    5·1 answer
  • If a^2- b^2 = 648 and (a - b) = 24. What is the value<br> of (a+b)?
    15·1 answer
  • For a population with µ = 40 and σ = 8, what is the z-score corresponding to X = 34?
    9·1 answer
  • Which exponential function models how much a $52,500 car depreciates at 9%
    6·1 answer
  • Can you please help???
    14·1 answer
  • Need help anyone please!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!