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Greeley [361]
3 years ago
11

Write an equation of the parabola that has the same shape as the graph of ​f(x)​, but with the point ​(​,​) as the vertex.

Mathematics
1 answer:
erik [133]3 years ago
5 0

Answer:

y=3(x-9)^2+4

Step-by-step explanation:

To move a parabola horizontally to the right, subtract 9.

To move it upward 4 units, you simply have to add 4.

These do not change the characteristics of the shape. I suggest looking at a set of rules that affect how the parabola moves horizontally and vertically.

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Find the zeros of the polynomial function and state the multiplicity of each.
zheka24 [161]
\bf f(x) = 4(x + 7)^2(x - 7)^3\implies 0 = 4(x + 7)^2(x - 7)^3
\\\\\\
0=(x+7)^2(x-7)^3\implies 
\begin{cases}
0=(x+7)^7\\
\qquad 0=(x+7)(x+7)\\
\qquad -7=x\\
\qquad -7=x\\
----------\\
0=(x-7)^3\\
\qquad 0=(x-7)(x-7)(x-7)\\
\qquad 7=x\\
\qquad 7=x\\
\qquad 7=x
\end{cases}

the -7 is found there twice, so it has a multiplicity of 2
the +7 is there thrice, so it has multiplicity of 3
7 0
3 years ago
Which of the following is a complex number?
Bogdan [553]

The answer is 4 + 3i

It is the only one there with a \sqrt{-1} or i

Like my answer? Consider marking it as brainiest!

4 0
3 years ago
Read 2 more answers
Goran is riding his bicycle. He rides for 22.5 kilometers at a speed of 9 kilometers per hour. For how many hours does he ride?
astra-53 [7]

Answer: He rides for 2.5 hours or 2 and a half hours.

Step-by-step explanation:

He needs to complete a trajectory of 22.5 kilometers.

He rides 9 kilometers per hour.

Divide the total by the amount of kilometers that he rides.

\frac{22.5}{9}=2.5h

6 0
3 years ago
Find the missing dimension:if the perimeter is 6yards and the length is 6ft .what is the width?in yards
larisa [96]
Since you haven't identified this figure, I'm going to assume that it's a rectangle.

The Perimeter of a rectangle of length L and width W is P = 2L + 2W.

Here you are given the Perimeter and the length, and are to find the width, W.

Solving the above equation for W, we get P - 2L = 2W.
Dividing by 2 (to isolate that W), we get 

P
-- - L = W
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8 0
3 years ago
Can someone answer 15 and 16 please I will mark u as brainliest
kifflom [539]

Answer:

just graph the problem so that you can answer

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