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Ratling [72]
3 years ago
6

The absolute value function g(x) = |x + 2| + 1 is translated 4 units right and 5 units up to become g'(x). The quadratic functio

n f(x) graphed below is moved 5 units right and 2 units down to become f'(x). Which of these two transformed functions has a range of y ≤ −6, and what is the vertex of this transformed function?
Graph of the quadratic function f of x that comes up from the left through negative four comma negative eight to the turning point at negative two comma negative four and goes down through zero comma negative eight and continues toward negative infinity

g'(x) has a range of y ≤ −6, and its vertex is at (−6, 6).
g'(x) has a range of y ≤ −6, and its vertex is at (2, 6).
f'(x) has a range of y ≤ −6, and its vertex is at (3, −6).
f'(x) has a range of y ≤ −6, and its vertex is at (−7, −6).
Mathematics
1 answer:
professor190 [17]3 years ago
8 0

Answer:

g'(x) has a range of y ≤ −6, and its vertex is at (−6, 6)

Step-by-step explanation:

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Reduce the fraction to lowest terms m^2/m^2-n^2
Softa [21]

Answer:

\boxed{\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}}

Step-by-step explanation:

Factor \bold{m^2-n^2}

\bold{\left(m+n\right)\left(m-n\right)}

Rewrite Equation

\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}

4 0
3 years ago
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Ellie drew ΔLMN, in which m∠LMN = 90°. She then drew ΔPQR, which was a dilation of ΔLMN by a scale factor of one half from the c
vaieri [72.5K]

Answer:

m∠P ≅ m∠L; this can be confirmed by translating point P to point L.

Step-by-step explanation:

Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:

∠L=∠P

∠Q=∠M

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Since the 2nd triangle made from dilation, it should maintain its orientation.

Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.

Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.

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6 0
3 years ago
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Anni [7]

Answer:

5.0×10⁷

Step-by-step explanation:

(3÷6)×(10⁴÷10^-4)

(0.5)×(10⁸)

5.0×10^-1×10⁸

5.0×10⁷

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Replace x with -1

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