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1 year ago

Graph the function and its parent function. Then describe the transformation. f(x) = x-6

1 answer:

7 0

I’m assuming since there isn’t any bar thingys with this, than the 6 is used for both the h and x axis, making it so that it goes right 6 and down 6.

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Find an nth-degree polynomial function with real coefficients satisfying the given conditions.

lesya692 [45]

Answer:

$\displaystyle f(x) = -2(x-2)(x^2+4)$

Step-by-step explanation:

We want to find a third degree polynomial with zeros x = 2 and x = 2i and f(-1) = 30.

First, note that by the Complex Root Theorem, since x = 2i is a root, x = -2i must also be a root.

Hence, we will have the three factors:

$\displaystyle f(x) = a(x-(2))(x-(2i))(x-(-2i))$

Where a is the leading coefficient.

Expand and simplify the second and third factors:

$\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}$

Hence:

$\displaystyle f(x) = a(x-2)(x^2+4)$

Since f(-1) = 30:

$\displaystyle \begin{aligned} f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}$

In conclusion, third degree polynomial function is:

$\displaystyle f(x) = -2(x-2)(x^2+4)$

5 0

3 years ago

Review the graph.

WITCHER [35]

Answer:

A. quadrant l

Step-by-step explanation:

Edge 2020

6 0

2 years ago

Read 2 more answers

How to solve Y=-4/6y+1

Marrrta [24]

Answer:

the answer is y =3/4 or alternate form y = 0.6

6 0

2 years ago

25 POINTS PLZ ANSWER FAST!!!!!!!!!!!!!!!!!!

andrew-mc [135]

Answer:

V = 1/3 ( 35)*12

Step-by-step explanation:

The volume is given by

V = 1/3 Bh

Where B is the area of the base

V = 1/3 ( 35)*12

8 0

3 years ago

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Select the correct answer

Tasya [4]

The correct answer is the 5th option (one before the last one).

7 0

3 years ago