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rjkz [21]
3 years ago
15

How can you use the values of a, b, and c to write a quadratic function in vertex form?

Mathematics
1 answer:
olga_2 [115]3 years ago
3 0

Answer:

  y = a(x +b/(2a))^2 + (4ac -b^2)/(4a)

Step-by-step explanation:

We presume you're starting with ...

  y = ax^2 +bx +c

As you would with numbers, factor the first two terms:

  y = a(x^2 +b/a·x) +c

Add half the square of the x term inside and its opposite outside parentheses:

  y = a(x^2 +(b/a)x + (b/(2a))^2) + c - a(b/(2a))^2

  y = a(x +b/(2a))^2 +c -b^2/(4a)

You can combine the last two terms to a more familiar fraction:

  y = a(x +b/(2a))^2 + (4ac -b^2)/(4a)

You might be interested in
A survey revealed that 56% of the students at North Valley high school are involved with in a sports team. The survey also showe
oksano4ka [1.4K]

Answer:

The probability that a student who is involved in a sports team also participated in the prom dance = 0.1344

Step-by-step explanation:

56% of the students are involved in a sport team

56% = 0.56

According to the question, it is stated that 24% of the students at the school that are involved in a sports team also participated in the prom dance.

24% = 0.24

This means that we are going to find 24% of the original 56%, since 24% of them also participated in the prom dance.

The probability that a student who is involved in a sports team also participated in the prom dance = 0.24 * 0.56

The probability that a student who is involved in a sports team also participated in the prom dance = 0.1344

5 0
3 years ago
What is the slope of a line parallel to the line whose equation is3x−4y=8?
xxTIMURxx [149]

The slope of the parallel line is 3/4

<h3>How to determine the slope?</h3>

The equation is given as:

3x - 4y = 8

Rewrite as:

4y = 3x - 8

Divide through by 4

y = 3x/4 -  2

A linear equation is represented as:

y = mx + b

Where m represents the slope

By comparison:

m = 3/4

Parallel lines have equal slope

Hence, the slope of the parallel line is 3/4

Read more about slope at:

brainly.com/question/3493733

#SPJ1

7 0
1 year ago
How do we write 8.517 in word form
kompoz [17]
Eight and five hundred, seventeen thousandths
6 0
3 years ago
Read 2 more answers
What is the value of y?<br> 3y+10/4=y
k0ka [10]
The answer is y=2. Hope this helps!
8 0
3 years ago
Harper wants to exchange £350 for dollars, how many more dollars would she get in the bank than in the post office
musickatia [10]

Answer: $24.50

Post office:£1 = $1.27

£350 = $1.27 × 350 = $444.50

Bank:£1 = $1.34

£350 = $1.34 × 350 = $469

Therefore, the difference will be:

= $469 - $444.50

= $24.50

8 0
2 years ago
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