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Law Incorporation [45]
3 years ago
15

How do I rewrite a quadratic into graphing form

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0

Step-by-step explanation:

Standard form of a quadratic is f(x) = ax² + bx + c.

To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).

Then, plug back into the equation to find the y-coordinate of the vertex.  k = f(h).

Finally, the leading coefficient is the same as the standard form, a.

f(x) = a(x − h)² + k

Another method is to complete the square.

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F(x)=2x^2 -5 , simplify f(x+h)/h , where h≠0
7nadin3 [17]

Answer:

\huge\boxed{\dfrac{f(x+h)}{h}=\dfrac{2x^2+4xh+2h^2-5}{h}}

\huge\boxed{\dfrac{f(x+h)}{h}=\dfrac{2x^2-5}{h}+4x+2h}

Step-by-step explanation:

f(x)=2x^2-5\\\\\dfrac{f(x+h)}{h}=\dfrac{2(x+h)^2-5}{h}=\dfrac{2(x^2+2xh+h^2)-5}{h}\\\\\dfrac{f(x+h)}{h}=\dfrac{2x^2+4xh+2h^2-5}{h}\\\\h\neq0

4 0
3 years ago
a box of cereal weighs 600 grams . how much is this weight in pounds ? explain or show your reasoning .
lyudmila [28]

Answer:

600 Grams = 1.323 Pounds

Step-by-step explanation:

1 gram equals 0.0022 pounds

600 x 0.0022 = about 1.323

6 0
3 years ago
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Construct a 2 ×2 Matrix whose elements aij are given by a ij = i+j
beks73 [17]

Answer:

the required matrix is can be given as

8 0
3 years ago
Verify the property a x (b+c) =(a x b)+(a x c) by taking: a = -7, b = (2/5), c = (-3/7)
Margaret [11]
(-7)*(2/5 + (-3/7))
= -14/5 + 3
=1/5
5 0
3 years ago
Is a number is blank then the number is less than it’s absolute value
svlad2 [7]

Answer:

If a number is <u>negative</u> then the number is less than its absolute value.

Step-by-step explanation:

If a number is <u>negative</u> then the number is less than its absolute value.

6 0
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