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
elena-s [515]
3 years ago
15

Find the x intercepts of the parabola with vertex (-1,-16) and y intercept (0,-15)

Mathematics
1 answer:
Arlecino [84]3 years ago
8 0
<span> first, write the equation of the parabola in the required form: </span>
<span>(y - k) = a·(x - h)² </span>

<span>Here, (h, k) is given as (-1, -16). </span>
<span>So you have: </span>
<span>(y + 16) = a · (x + 1)² </span>

<span>Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): </span>

<span>-15 + 16 = a· (0 + 1)² </span>
<span>.·. a = 1 </span>

<span>.·. the equation of the parabola in vertex form is </span>
<span>y + 16 = (x + 1)² </span>

<span>The x-intercepts are the values of x that make y = 0. So, let y = 0: </span>

<span>0 + 16 = (x + 1)² </span>
<span>16 = (x + 1)² </span>

<span>We are trying to solve for x, so take the square root of both sides - but be CAREFUL! </span>

<span>± 4 = x + 1 ...... remember both the positive and negative roots of 16...... </span>

<span>Solving for x: </span>
<span>x = -1 + 4, x = -1 - 4 </span>
<span>x = 3, x = -5. </span>

<span>Or, if you prefer, (3, 0), (-5, 0). </span>
You might be interested in
Please answer question. I need some math to explain the answer, not just the answer. Ignore my work, that was wrong. Please help
Virty [35]
The correct answer to your question is number 2
3 0
3 years ago
PLS HELP, I'm not very good at math so I need the answer to this
statuscvo [17]

Answer:

A BT = CT

Step-by-step explanation:

BAT ≅ CAT

That means

The angles are the same and the sides are the same by CPCTC

AB = AC

CT = BT

AT=AT

and

< BAT = <CAT

< ATB = <ATC

< TBA = <TCA

Given the choices on the left

A BT = CT is one of them

4 0
3 years ago
11. A recipe calls for 1/2
andreyandreev [35.5K]

Answer:

if jack uses 10 cups of sugar he will need to use 6 tsp of vanilla extract

Step-by-step explanation:

10 devided by 2 1/2= 4

and 1/2 multiplied by 4 is 6

3 0
3 years ago
Read 2 more answers
Which of these values represents the largest distance?
GarryVolchara [31]

Answer:C 5000 feet

Step-by-step explanation:It’s slightly less then a mile.

7 0
3 years ago
Read 2 more answers
Jericho takes 3 tests in one month. The number of correct answers and the total
Delvig [45]

Answer:

you need to show the table for this question to get solved

8 0
2 years ago
Read 2 more answers
Other questions:
  • Three cowboys share 25.6 pounds of bacon.how many bacon dose each cowboy receive?
    7·1 answer
  • Contestants in a dance a thon rest for the same amount of time evry hour.A couple rest for 25 mins in 5 hours. How long did they
    7·1 answer
  • An observer (0) spots a plane flying a 35° angle to his horizontal line of the sight. If the plane is flying at an altitude of 1
    11·1 answer
  • 4p²+12pr+9r² factor each polynomial , if it cannot be factored write 'prime'
    12·1 answer
  • On average the number of drum sets sold in Michigan each year is 96,537, which is seven times the average number of drum sets so
    8·1 answer
  • Some one help me Asap? Tap to see full picture
    6·2 answers
  • Felipe is planning a party. He has $50.00 to spend on sandwiches that cost $2.50 per person, $25.00 to spend on drinks that cost
    11·2 answers
  • Matt and Mindy each built a rectangular prism that has a length of 5 units, a width of 2 units and a height of 4units. Matt used
    13·1 answer
  • Negative 5x plus 4y equals 3 i need x and y thank youu
    12·1 answer
  • Is a triangle with the side lengths 4 feet, 7. 5 feet, and 8. 5 feet a right triangle? Why or why not? ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!