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spin [16.1K]
3 years ago
10

How do you write the equation of this description: the graph of a parabola has a vertex of (2,3) and vertically stretched by 3

Mathematics
1 answer:
Mademuasel [1]3 years ago
3 0

The equation of parabola is  y = 3x²- 12x+ 15.

<u>Step-by-step explanation:</u>

The equation of the parabola is given as y = x².

If it has a vertex then the equation can be written as,

y = a(x-h)² + k

where (h, k ) is the vertex and a is the stretching or compressing factor.

So here the vertex is (2,3) and it is vertically stretched by 3.

So the equation is given as,

y = 3(x-2)² + 3

y = 3(x² -4x+4) + 3

 = 3x² - 12x + 12 + 3

y = 3x²- 12x+ 15 is the equation of the parabola.

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Simplify negative square root of 72
STatiana [176]
Answer: -6√2

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Then 6 is on the outside, while two is inside.
Don’t forget the negative.
5 0
1 year ago
Explain why the polynomial 144x2 − 200x + 81 is not a perfect square.
Sloan [31]
The square root of 144x^2 = 12 x
and square root of + 81 = 9 or -9

if  this polynomial were a perfect square then its factors would be 
(12x - 9)(12x - 9)

but its not a perfect squre because (12x - 9)(12x - 9)  = 144x^2 - 216x + 81.
5 0
3 years ago
What is the correct answer?
Fynjy0 [20]
I believe it’s 12. But I’m not sure
8 0
2 years ago
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a

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8 0
3 years ago
What should the next number be? 100 96 104 88 120 56
riadik2000 [5.3K]

100 ---> 96 is -4

96 ---> 104 is +8

104 ---> 88 is -16

88 ---> 120 is +32

120 ---> 56 is -64  

So first we go down by 4, then up by 8, then down 16, then up 32, then finally down 64.  

The pattern of numbers is: -4, +8, -16, +32, -64  

Notice it's the powers of 2:  

2^2 = 4

2^3 = 8

2^4 = 16

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each term doubles. Also each term alternates in sign. One is positive, then the next is negative and so on.  

The last difference is -64, which doubles to -128. Change the sign to positive to get +128  

Add 128 to the last term of 56 to get

128+56 = 184  

Therefore, the final answer is 184

8 0
3 years ago
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