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Fynjy0 [20]
3 years ago
13

The graph of F(x),shown below,has the same shape as the graph of G(x)=x^4, but it is shifted 2 units to the right. What is it’s

equation?
F(x) =____

Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0

Hey there! :)

Answer:

A. f(x) = (x - 2)^{4}

Step-by-step explanation:

Recall that the transformation form of a polynomial with degree four is:

f(x) = ±a(b(x-h))^{4} +k

In this instance, we will need to use the h value, or the horizontal shift.

It is given that there is only a horizontal shift of 2 units to the right, or h = 2. Plug this into the equation:

f(x) = (x - 2)^{4}

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what is the equation of a line in slope intercept form that is perpendicular to y=2x+2 and passes through the point (8,-4)
miv72 [106K]

Answer:

The equation of the line that is <em>perpendicular</em> to <em>y = 2x + 2</em> is

<em>y = -1/2x</em>

Step-by-step explanation:

The original equation is y = 2x + 2; it's slope is <em>2</em>

Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.

Example:

y = 2x + 2 so,

the perpendicular line's slope must be -1/2

Write a new equation with the new slope:

y = -1/2x + b

We know that this line passes through (8, -4)

Plug these coordinates in the equation to find b, the y-intercept

-4 = -1/2 (8) + b

-4 = -4 + b

0 = b

b = 0

We do not have to write y = -1/2x + 0

So, our final answer is "y = -1/2x  is perpendicular to y = 2x+2"

7 0
2 years ago
What value of x makes this inequality true? <br> x + 16 &lt; 43
lianna [129]

Answer:

x < 27

Step-by-step explanation:

x + 16 < 43

move the constant to the right-hand side and change its sign

x < 43 - 16

subtract the numbers

x < 27

~~~~~~~~~~~~~~~~~~

X < 27

alternative form

X ∈ ( - ∞ , 27 ) , { x | x < 27 }

5 0
2 years ago
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