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Ne4ueva [31]
3 years ago
15

The graphs below are the same shape what is the equation of the blue graph

Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0

Answer:

B. g(x) = (x-2)^2 +1

Step-by-step explanation:

When you see this type of equation your get the variables H and K in a quadratic equation. In this case the (x-2)^2 +1  is your H. The (x-2)^2 +1 is your K.

For the H you always do the opposite so in this case instead of going to the left 2 times you go to the right 2 times (affects your x)

For the K you go up or down which in this case you go up one (affects your y)

And that's how you got your (2,1) as the center of the parabola

-Hope this helps :)

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Question 5a: What is the measure of h?*
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Given the right triangle, evaluate: sin 0.<br><br>​
Lady bird [3.3K]

Answer:  B.   5/13

This is the same as writing \frac{5}{13}

==========================================================

Reason:

We have two given sides of this right triangle. Use the pythagorean theorem to find the missing side.

a = 5 and b = 12 are the two known legs; c is the unknown hypotenuse

a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{5^2+12^2}\\\\c = \sqrt{25+144}\\\\c = \sqrt{169}\\\\c = 13\\\\

The hypotenuse is exactly 13 units long. This is a 5-12-13 right triangle.

Now we can compute sine of theta

\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{5}{13}\\\\

This points us to choice B as the final answer.

----------------

Extra Info (optional)

  • 5/12 is the value of tan(theta) since it's opposite/adjacent
  • 12/5 is the value of cot(theta), the reciprocal of tangent
  • 12/13 is the value of cos(theta), because cos = adjacent/hypotenuse
8 0
3 years ago
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