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sladkih [1.3K]
3 years ago
10

Which expression represents 81? 1. 3^3 2. 3^4 3. 3^5 4. 3^6

Mathematics
1 answer:
g100num [7]3 years ago
4 0

Answer:

2. 3^4

Step-by-step explanation:

3 x 3 x 3 x 3 = 81

Or you can do it an easier way by

3 x 3 = 9

3 x 3 = 9

Then you would multiply 9 x 9 which gives you the answer of 81.

I am sorry if you get this wrong.

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Transforming quadratic graphs
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Answer:

f(x) = 3(x - 2)² + 4

OR  

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Step-by-step explanation:

Vertex form of a parabola:

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Standard form of a parabola:

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Let's find the vertex of this parabola.

  • (h, k) → (2, 4)

In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.

Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.

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Simplify using PEMDAS.

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Subtract 4 from both sides.

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Now we have (h, k) and a of the vertex form.

  • y = a(x - h)² + k  → y = 3(x - 2)² + 4

In order to convert from vertex to standard form, simplify the equation by FOILing.

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Distribute 3 inside the parentheses.

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Combine like terms.

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Therefore, we have the answer:

<u>Vertex form:</u>

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<u>Standard form:</u>

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