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
nikitadnepr [17]
3 years ago
6

Find the x-intercept(s) and the coordinates of the vertex for the parabola.

Mathematics
1 answer:
Arada [10]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given

y = x² - 2x - 8

To find the x- intercepts let y = 0 , that is

x² - 2x - 8 = 0 ← in standard form

(x - 4)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 2 = 0 ⇒ x = - 2

x- intercepts : x = - 2, x = 4

The x- coordinate of the vertex is mid way between the x- intercepts, that is

x_{vertex} = \frac{-2+4}{2} = \frac{2}{2} = 1

Substitute x = 1 into the equation for corresponding y- coordinate

y = 1² - 2(1) - 8 = 1 - 2 - 8 = - 9

vertex = (1, - 9 )

You might be interested in
On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula o
monitta

Answer:

(1,3)

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
WHICH IS LONGER 2 MILES OR ````3 KILOM`ETERS
kompoz [17]
I think 2 miles hoped this helped
8 0
2 years ago
Read 2 more answers
What is the area of this triangle ?
Liula [17]

Answer:

8

Step-by-step explanation:

area of a triangle= b x h x 1/2 or b x h /2

the base is 4 and the height is 4

4x4/2

=16/2

=8

5 0
2 years ago
If ∠A &gt; ∠B, then what is the relation between AC and BC?<br>​
prohojiy [21]

Answer:

ab and ac are congruent with each other

8 0
2 years ago
Read 2 more answers
A park is rectangular with a length of ⅔ miles. If the area of the park is 3/9 square miles, what is the width?
Zielflug [23.3K]

Answer:

Area of the rectangular park = 2/3 square mile

Let us assume the width of the rectangular park = x

Then

The length of the rectangular park = 2 2/3 * x mile

                                                      = 8x/3 mile

Then

Area of the rectangular park = Length * Width

2/3 = (8x/3) * x

2/3 = 8x^2/3

(2 * 3)/3 = 8x^2

2 = 8x^2

x^2 = 2/8

x^2 = 1/4

x^2 = (1/2)^2

x = 1/2

So the width of the park is 1/2 feet.

Step-by-step explanation:

Brainliest would be nice

4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help with these problems <br> thank you so much!<br><br> 9. 10. 11. 12. 13. 14.
    10·1 answer
  • 9c - 10 = 2c + 53 <br>find what is c.​
    11·2 answers
  • State the domain of this relation
    5·2 answers
  • The figure below shows a rectangle ABCD having diagonals AC and DB: A rectangle ABCD is shown with diagonals AC and BD. Anastasi
    6·1 answer
  • Solve, using the substitution method. 2x + 3y = 3 x + 2y = 1 (1, 4) (0, –2) (3, –1) (7, -5/2)
    5·1 answer
  • Simplify the expression 2[13-1)^2/2]
    15·1 answer
  • If tñ=2ñ+3, find S10​
    7·1 answer
  • What is the mean of 9, 25, and 53?<br><br> 3<br><br> 9<br><br> 25<br><br> 29
    14·2 answers
  • Find 7.1 times the diffrence between 60 and 14
    6·1 answer
  • The equation for line j can be written as y = 2x + 8. Another line k is perpendicular
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!