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Sholpan [36]
2 years ago
5

In which quadrant will the triangle be located after this series of transformations? Does the size of the triangle change after

the series of transformations? 1. Translate (x, y) → (x + 1, y + 2) 2. R (origin, 90° clockwise) 3. Translate (x, y) → (x + 2, y - 3)
Mathematics
1 answer:
ASHA 777 [7]2 years ago
3 0

Answer:

Step-by-step explanation:

1. Translate (x, y) → (x + 1, y + 2)

The x coordinate will be translated 1 units horizontally and the y coordinate will be translated up 2 units vertically but they are still locate in the 1st quadrant

2. R (origin, 90° clockwise)

It still locate in the 1st quadrant because after rotating it will create an angle 90°

3. Translate (x, y) → (x + 2, y - 3)

The x coordinate will be translated 2 units horizontally but the the y coordinate will be translated down 3 units vertically, so:

-  It will remain in the first quadrant.

- There is no size of the triangle will change.

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Simplify.
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Answer:

  • See below

Step-by-step explanation:

f(x) is quadratic function and g(x) is linear (since AP in the right column).

<u>Find the equation of the function f(x), use the points on the graph:</u>

  • f(x) = ax² + bx + c
  • c = 5 as the y-intercept is (0, 5)
  • a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = b
  • a(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4

<u>The function is:</u>

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Find the equation of g(x)

<u>Find the slope of g(x):</u>

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<u>Use (-4, 7) to find its equation:</u>

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<h3>See the required comparison below</h3>

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<u>Max of function in the interval [-5, 5];</u>

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