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
Marina86 [1]
3 years ago
11

Y=x^2-6x-16 in vertex form

Mathematics
1 answer:
satela [25.4K]3 years ago
3 0

Answer:

y=(x-3)^{2} -25

Step-by-step explanation:

The standard form of a quadratic equation is y=ax^{2} +bx+c

The vertex form of a quadratic equation is y=a(x-h)^{2} +k

The vertex of a quadratic is (h,k) which is the maximum or minimum of a quadratic equation. To find the vertex of a quadratic, you can either graph the function and find the vertex, or you can find it algebraically.

To find the h-value of the vertex, you use the following equation:

h=\frac{-b}{2a}

In this case, our quadratic equation is y=x^{2} -6x-16. Our a-value is 1, our b-value is -6, and our c-value is -16. We will only be using the a and b values. To find the h-value, we will plug in these values into the equation shown below.

h=\frac{-b}{2a} ⇒ h=\frac{-(-6)}{2(1)}=\frac{6}{2} =3

Now, that we found our h-value, we need to find our k-value. To find the k-value, you plug in the h-value we found into the given quadratic equation which in this case is y=x^{2} -6x-16

y=x^{2} -6x-16 ⇒ y=(3)^{2} -6(3)-16 ⇒ y=9-18-16 ⇒ y=-25

This y-value that we just found is our k-value.

Next, we are going to set up our equation in vertex form. As a reminder, vertex form is: y=a(x-h)^{2} +k

a: 1

h: 3

k: -25

y=(x-3)^{2} -25

Hope this helps!

You might be interested in
Which statement is true regarding the angles in the figure below?
Nesterboy [21]

An exterior angle is an angle supplementary to one of the interior angles.  

In other words, an exterior angle is the angle between one of the sides, and the extension of an adjacent side.

In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.

Therefore angle D is not an exterior angle.

Option D is the correct one!

8 0
3 years ago
Read 2 more answers
Lkm is equilateral. Solve for x if angle k=9x+24
Marta_Voda [28]

Answer:

x = 4

Step-by-step explanation:

Given that the triangle is equilateral then the measure of each angle is 60°

Equate 9x + 24 to 60 and solve for x

9x + 24 = 60 ( subtract 24 from each side )

9x = 36 ( divide both sides by 9 )

x = 4

7 0
3 years ago
Help Plz
mr Goodwill [35]

Answer:

it's easy if you're 3 below ground level then it would be -3 and now you just add 12

Step-by-step explanation:

-3+12=9

3 0
3 years ago
Read 2 more answers
a manned rocket accelerates at a rate of 20 m/s2 during launch How long does it take the rocket reach a velocity of 400 m/s?
marshall27 [118]

Answer:

Step-by-step explanation:

acceleration, a = 20 m/s^2

initial velocity, u = 0 since it starts from rest

final velocity, v = 400 m/s

v = u + at

400 = 0 + 20 t

400 = 20 t

t = 400 / 20

<u><em>t = 20 sec</em></u>

Hope this helps

plz mark as brainliest!!!!

6 0
3 years ago
an amusement park sold 46 child tickets. The other 4 tickets it sold were adult tickets. What is the ratio of the number of adul
Alja [10]

Answer:

2:46

1:23

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is 4c minus 7.8 if c is 4
    11·1 answer
  • 3. What is the slope of a line perpendicular to the line y =-2/3<br> x+12
    11·1 answer
  • F(x) =2x^2+4x+5<br> Find: (a+h)
    12·1 answer
  • Si agrupo mis lápices de 2 en dos me sobra 1; si lo hago de 3 en 3, también me sobra 1 y si lo hago de 5 en 5 ocurre los mismo.¿
    7·1 answer
  • Jesse drank 3/4
    14·1 answer
  • Two numbers with a total between 300 and 400​
    13·1 answer
  • Can y’all help me with this plzzzz
    13·2 answers
  • For what values of x is f(x)&gt;0?
    12·1 answer
  • What’s the answer Please
    14·1 answer
  • Is 14/4 and 3 1/2 equivalent​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!