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
In-s [12.5K]
3 years ago
13

Write y=x^2+16x−7​ in vertex form. Then identify the vertex.

Mathematics
2 answers:
hram777 [196]3 years ago
7 0

Answer:

4, -19

Step-by-step explanation:

WARRIOR [948]3 years ago
4 0

The vertex form of the function is y = (x + 8)² - 71

The vertex is (-8 , -71)

Step-by-step explanation:

The vertex form of the quadratic equation y = ax² + bx + c is

y = a(x - h)² + k, where

  • (h , k) are the coordinates of the vertex point
  • a, b, c are constant where a is the leading coefficient of the function (coefficient of x²) , b is the coefficient of x and c is the y-intercept
  • h=\frac{-b}{2a}
  • k is the value of y when x = h

∵ y = x² + 16x - 7

∵ y = ax² + bx + c

∴ a = 1 , b = 16 , c  = -7

∵ h=\frac{-b}{2a}

∴ h=\frac{-16}{2(1)}

∴ h = -8

To find k substitute y by k and x by -8 in the equation above

∵ k is the value of y when x = h

∵ h = -8

∴ k = (-8)² + 16(-8) - 7 = -71

∵ The vertex form of the quadratic equation is y = a(x - h)² + k

∵ a = 1 , h = -8 , k = -71

∴ y = (1)(x - (-8))² + (-71)

∴ y = (x + 8)² - 71

∵ (h , k) are the coordinates of the vertex point

∵ h = -8 and k = -71

∴ The vertex is (-8 , -71)

The vertex form of the function is y = (x + 8)² - 71

The vertex is (-8 , -71)

Learn more:

You can learn more about quadratic equation in brainly.com/question/9390381

#LearnwithBrainly

You might be interested in
(5,0) is a solution to the equation y = 5x + 5 Question 11 options: True False
Keith_Richards [23]

Answer:

False

Step-by-step explanation:

y=5x + 5

0=5 (5)+5

0=10+5

0≠15

False

5 0
3 years ago
A camera has a listed price of $587.98 before tax. If the sales tax rate is 8.5%, find the total cost of the camera with sales t
ikadub [295]

Answer:

$637.95

Step-by-step explanation:

convert 8.5% to a decimal by dividing by 100:

8.5÷100= 0.085

then multiply.

587.98×(0.085)=49.97

now add.

587.98+49.97=<u>637.95</u>

6 0
3 years ago
1/2 (x + 8) - 15 = - 3
seropon [69]

Answer:

4

Because I took the test and got it correct.

5 0
2 years ago
Read 2 more answers
A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression shows the amo
Veronika [31]

Answer: $320 - $7.50p

Step-by-step explanation:

Based on the information given in the question, the expression that shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00 before any payment is made to their competitors will be:

= $320 - $7.50p

where,

$320 = revenue made before any payment

$7.50 = amount paid for a customer choosing a competitor

p = number of customers

6 0
2 years ago
Read 2 more answers
A polygon that undergoes a series of transformations that the image has the corresponding sides and angles of equal measure to t
Gnoma [55]

What did the answer end up being?

7 0
3 years ago
Other questions:
  • Answer for B and C and explanation if possible
    9·2 answers
  • Is 996 in equal greater or less than 74 ft
    8·1 answer
  • PLEASE HELP
    11·1 answer
  • Can someone please help, ty!
    9·1 answer
  • What is v?<br> -15V-40 = 23-8V
    6·2 answers
  • How many is equivalent to 10/12
    15·2 answers
  • Which inequality describes all the solutions to 5(3 − x) &lt; −2x + 6?
    11·1 answer
  • Please help me if you know how to do it
    11·1 answer
  • Write an equation in slope intercept form for the line passing through (2, 6) with a slope of -3
    6·1 answer
  • Zach is building a cage for his gerbil. The area of the cage is 42 square inches.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!