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yan [13]
3 years ago
5

I need help with these questions for Quadratic functions

Mathematics
1 answer:
STALIN [3.7K]3 years ago
7 0

9514 1404 393

Explanation:

1. The general form of a quadratic in standard form* is ...

  f(x)=ax^2+bx+c

An example is ...

  f(x)=2x^2+3x-5

The constant c is the y-intercept, so is the easiest bit of information to obtain in this form.

__

2. The general form of a quadratic in vertex form can be written as ...

  f(x)=a(x-h)^2+k

An example is ...

  f(x)=2(x -3)^2 -5

The ordered pair (h, k) is the vertex of the parabola, so is easy to obtain in this form. Arguably, it may be easier to identify the line of symmetry, x=h, since that requires looking at only one constant, instead of two.

_____

* In the UK, "standard form" is vertex form.

You might be interested in
What is the value of y in the equation 4y – 2(1 – y) = –44?
Sergio039 [100]

Answer:

-7

Step-by-step explanation:

To find y, follow these steps:

4y - 2 (1 - y) = -44

First, distribute the -2 into the parenthesis:

4y - 2 + 2y = -44

The reason the 2y is positive is due to the fact that negative and negative cancel each other out and form a positive.

Now, combine like terms:

6y - 2 = -44

To get y, you need to isolate it from the constants. In order to do so, do the inverse relationship for the constant -2. To do this, add 2 to -44:

6y = -42

Now, divide six on both sides. You divide because six is currently being multiplied with y. Keep in mind that the 42 is still negative!

y = -7

Hope this helps!

4 0
3 years ago
Read 2 more answers
What is the answer to 4/5 - 3/4?
azamat

Answer: 1/20

Step-by-step explanation:

you need to find a common denominator (least common multiple of both denominators)

4/5 - 3/4

16/20 - 15/20

1/20

7 0
3 years ago
Read 2 more answers
This is confusion please help
oksano4ka [1.4K]

Answer:

c = 5√5

Step-by-step explanation:

When we have a right triangle, there is a property about its measurements that is <em>always</em> true, and its called the "Pythagorean Theorem"

First, let's understand the basic terms we use to describe the sides of a triangle:

we can call one leg "a", the other leg "b" and the slanted side "c"

("c" is also called the hypotenuse--and it's always opposite the 90-degree angle)

the pythagorean theorem:

a² + b² = c²

here, our "a" is 5, our "b" is 10 {and we don't know what c is}

let's try plugging these values into our formula:

a² + b² = c²

5² + 10² = c²

25 + 100 = c²      

125 = c²

now, we know what c² is--but we want to know c,

so we must take the square root of both sides

√125 = √c²

√125 = c

now, while √125 <em>is </em>our answer, we can simplify further!

this is because 125 can be made up of 5 · 25

so, \sqrt{125} = \sqrt{5*25}

and

\sqrt{5*25}=\sqrt{5}*\sqrt{25}

we can take out the square root of 25 (5):

=\sqrt{5}*5

we write this as such: 5\sqrt{5}

so, in simplest radical form, c = 5√5

(√125)

hope this helps!! have a lovely day :)

4 0
1 year ago
Help and please explain (20 points, will reward brainliest :))
notka56 [123]

Answer:x=13

BMC=75 degrees

Step-by-step explanation:

(x+2)+(5x+10)=90 degrees

so 6x+12=90

x=13

5x+10=5x13+10=75 degrees

7 0
3 years ago
Can someone pls help
lapo4ka [179]

Answer:

7

Step-by-step explanation:

8 0
2 years ago
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