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
Pani-rosa [81]
3 years ago
6

A quadratic equation that has X-intercepts of (-2,0) and (8,0), a stretch of 3, and the vertex is a minimum.

Mathematics
1 answer:
umka21 [38]3 years ago
7 0

Answer:

a. y = 3 × (x + 2)(x - 8)

b.  y = 3·(x - 3)² - 75

c) y =  3·x² - 18·x - 48

Step-by-step explanation:

The x-intercept of the quadratic equation are (-2, 0), (8, 0)

The stretch of the quadratic equation = 3

We have;

a. The factored form y = 3 × (x + 2)(x - 8)

b. From the vertex form, we have;

y = 3 × (x + 2)(x - 8) = 3·x² - 18·x - 48

y = 3·x² - 18·x - 48

The vertex form a(x - h)² + k

Where;

h = -b/(2·a) = 18/6 = 3

h = 3

k = c - b²/(4·a) = -48 - (18²)/12 = -75

The vertex form 3·(x - 3)² - 75

c) The standard form of the quadratic equation, y = a·x² + b·x + c

The standard form of the quadratic equation is y =  3·x² - 18·x - 48.

You might be interested in
A vase can hold 9 flowers. If a florist had 878 flowers she wanted to put equally into vases, how many flowers would be in the l
zavuch27 [327]
There are 5 flowers in the last vase because you divide 878 by 9 and get 97 and then you have 5 leftover
3 0
3 years ago
Read 2 more answers
Find the slope (m) and y-intercept (b) of each representation be
scoray [572]

Answer:

m= -2

b = 3

Step-by-step explanation:

Take two points from line.

(0,3) and (1,1)

now slope(m) = (1-3)/(1-0)

m = -2

now

y = mx+b

or, 3 = -2×0+b

or, 3 = 0+b

so, b = 3

5 0
2 years ago
150 calories and 30 grams how many calories are in 7 grams
exis [7]

Answer:

35 calories

Step-by-step explanation:

create a proportion and solve.

30/150= 7/x

7 0
2 years ago
Which of the following are progressions?
professor190 [17]

In mathematics: Arithmetic progression, sequence of numbers such that the difference of any two successive members of the sequence is a constant. Geometric progression, sequence of numbers such that the quotient of any two successive members of the sequence is a constant. so i chose b)Sequences

7 0
3 years ago
Read 2 more answers
Kara boys 36 bagels. Ten are whole wheat. What fraction of the bages are
svetoff [14.1K]

Answer:

5/18 is the answer to this question

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • Ahmed is working at a burger joint hos boss pays him $7.50 per hour and promises a raise of $0.25
    10·2 answers
  • Tomas Gomez's gross weekly pay is $750. What amount is deducted weekly for Social Security taxes, if the tax rate is 6.2%?
    7·1 answer
  • Solve the equation -3+v/2=-7
    9·1 answer
  • Last one haha ill give 20 points
    13·1 answer
  • Solve for x, y, and z. Please show all steps.
    15·1 answer
  • Help with all 3 please hurry
    6·2 answers
  • Solve for. x -2x – 3 = 7
    12·1 answer
  • What is another way to write the expression: t. {14-5} plz I need help on this FAST
    5·1 answer
  • 2,11,20 find the t15
    6·1 answer
  • Another name for the natural numbers is _____.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!