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N76 [4]
1 year ago
12

You have worked with three forms of quadratic functions. Think about them and answer the following questions in complete sentenc

es.
1. What are the different forms?

2. For each of the three forms, when would it be most convenient to have the function in that form?

3. Create a quadratic function in one of the forms and show how to convert it to another one of the three forms.

PLEASE ANSWER ALL THREE QUESTIONS OR DON'T ANSWER AT ALL. WILL GIVE BRAINLIEST, WORTH 20 POINTS.
Mathematics
1 answer:
KengaRu [80]1 year ago
8 0

1. The different forms of the quadratic equation include:

Standard form

Factored form

Vertex form

2. It will be most convenient to have the function in that form when the values of the coefficient can be determined.

3. The quadratic equation that's created is 2x + 1)(x + 2).

<h3>How to illustrate the information?</h3>

It should be noted that quadratic equations are the polynomial equations of degree 2 where one variable of type f(x)=ax²+bx+c.

It should be noted that this is the general form of a quadratic equation where a is the leading coefficient and c is the absolute term of f (x).

It should be noted that the values of x satisfying the quadratic equation are the roots of the quadratic equation. Here, there are three different forms of quadratic equations:

Standard form: The standard form is represented by y=ax²+bx+c where a,b, and c are just the numbers.

Factored form: The factored form is represented byy=(ax+c)(bx+d) where a,b,c,and d are just the numbers.

Vertex form: The vertex form of a quadratic equation is represented by y=a(x+b)² +c where a,b, and c are just the numbers.

A quadratic equation to convert form one form to another will be:

Convert (2x + 1)(x + 2) from factored form to standard form.

= (2x + 1)(x + 2)

= 2x² + 4x + x + 2

Learn more about quadratic equation on:

brainly.com/question/1214333

#SPJ1

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Help me Solve 1/6 ÷ 2/6 please
pochemuha
\frac{1}{6} ÷ \frac{2}{6}

First, apply this following rule: a ÷ \frac{b}{x} = a × \frac{c}{b}
\frac{1}{6} × \frac{6}{2}
Second, apply this following rule: \frac{a}{b} × \frac{c}{d} =  \frac{ac}{bd}
\frac{1x6}{6x2}
Third, multiply 1 × 6 to get 6 and 6 × 2 to get 12.
\frac{6}{12}
Fourth, find the GCF of 6 and 12. 
Factors of 6: 1, 2, 3, 6
Factors of 12: 1, 2, 3, 4, 6, 12
The GCF is 6.
Fifth, divide the numerator by the GCF.
6 ÷ 6 = 1
Sixth, divide the denominator by the GCF.
12 ÷ 6 = 2
Seventh, collect the new numerator and new denominator.
\frac{1}{2}

Answer as fraction: \frac{1}{2}
Answer as decimal: 0.5

8 0
3 years ago
Compare. Use &gt;, &lt;, or = to complete the statement. | –10 | | 11 | A. &gt; B. = C. &lt;
mash [69]
Answer: |-10| < |11|

So choice C. is right.

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6 0
3 years ago
Read 2 more answers
1<br> Which expression is equivalent to 24 3?<br> O 213<br> 23/3<br> 276<br> 23/6<br> please help!
krok68 [10]

Answer:

B 2 \sqrt[3]{3}

Step-by-step explanation:

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WE know that (ab) ^ c = a^ c * b*c

24 ^ 1/3  = 8^1/3 * 3 ^1/3

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8 0
3 years ago
Read 2 more answers
What is the result of increasing 50 by 30%?
kogti [31]

Answer:

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Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

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100% = 100/100 = 100 ÷ 100 = 1.

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New value = 50 + Percentage increase

Calculate

New value =

50 + Percentage increase =

50 + (30% × 50) =

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(1 + 30%) × 50 =

(100% + 30%) × 50 =

130% × 50 =

130 ÷ 100 × 50 =

130 × 50 ÷ 100 =

6,500 ÷ 100 =

65

Or just find 30% of 50 (15) and add that

8 0
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Fist subtract 5 from both sides
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Equation is now s is less than or equal to 22
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8 0
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