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nignag [31]
3 years ago
15

Write the quadratic function in standard form. f(x) = -x2 + 2x + 4 f(x) =

Mathematics
1 answer:
goldenfox [79]3 years ago
7 0

Answer:

f(x)=-1(x-2)^2+8

Step-by-step explanation:

Given:

The quadratic function is given as:

f(x)=-x^2+2x+4

The standard form of a quadratic function is given as:

f(x)=a(x-h)^2+k, where, 'a', 'h' and 'k' are real numbers.

Now, in order to convert the given function to standard form, we use completing by  square method.

-x^2+2x=-(x^2-2x)=-[(x-2)^2-2^2]=-[(x-2)^2-4]=-(x-2)^2+4

Now, f(x)=-x^2+2x+4 can be rewritten as:

f(x)=-(x-2)^2+4+4\\f(x)=-1(x-2)^2+8

Therefore, the standard form of the function is:

f(x)=-1(x-2)^2+8

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Dmitriy789 [7]

Answer:

16

Step-by-step explanation:

Vertical Angles are congruent (equal)

78 = 5x - 2

80 = 5x

16 = x

7 0
2 years ago
Need help like right now.
denpristay [2]

Let's go:


Big triangle:

12 + 3x - 6 = 3x + 6

10 + 8 = 18


\frac{10}{18} = \frac{3x - 6}{3x + 6} \\\\ 10.(3x + 6) = 18.(3x - 6) \\\ 30x + 60 = 54x - 108 \\\ 54x - 30x = 60 + 108 \\\ 24x = 168 \\\ x = 7


I hope I helped you.


4 0
3 years ago
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Rectangle a has area 40 cm square and length 8 cm. the area of rectangle b is one half the area of rectangle
lesya [120]
Area of rectangle b=1/2 area of rectangle a=40/2=20 cm²
Length=8 cm 
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5 0
2 years ago
Which number can each term of the equation be multiplied by to eliminate the fractions before solving ? -3/4 m-1/2=2+1/4mA 2B 3C
bixtya [17]

The correct answer is C. 4.

Typically, we look to multiply by the bottom number (the denominator) in order to get fractions to cancel out. If we multiply 1/6 by 6, we get just 1, which is why we do it.

In this problem, you have two different denominators, 2 and 4. If you multiply them all by 2, the term -3/4m will still be a fraction.

-3/4m * 2 = -3/2m

As a result, we must try 4 instead. This causes all of them to cease being a fraction. Even the one with 2 as a denominator.

-1/2 * 4 = -2

7 0
3 years ago
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Helpppp I can’t find the answer( 19 only)
lakkis [162]

Answer:

10 plus -4

Step-by-step explanation:

3 0
3 years ago
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