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dsp73
3 years ago
10

What is the horizontal shift for the absolute value function below? Explain how you know using complete sentences.

Mathematics
1 answer:
alina1380 [7]3 years ago
3 0

Answer:

The horizontal shift is 6 units left (so -6).

Step-by-step explanation:

The horizontal shift is located inside the absolute value bars. While F(x) adds 6 to x, so you may think it's 6 units right, <em>horizontal</em> shifts are backwards as opposed to vertical shifts: we go 6 units left.

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Answer:

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Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The points (2, - 2) and (0, - 2) have the same y- coordinate and therefore lie on a horizontal line with equation

y = - 2

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Decimal Form

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Mixed form

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Step-by-step explanation:

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2 years ago
PLEASE HEKLPP<br> IF ITS RIGHT ILL GIVE BRSAINLIEST
tino4ka555 [31]

Answer:

We conclude that:

h(f(-1))  = -2

∴ option D i.e. -2 is correct.

Step-by-step explanation:

Given

f(x) = 4x² - 1

g(x) = 1/2x + 5

h(x) = 2(x - 4)³

To determine

h(f(-1)) = ?

In order to determine h(f(-1)) first we need to determine f(-1).

substitute x = -1 in the function f(x) = 4x² - 1

f(-1) = 4(-1)² - 1

f(-1) = 4(1) - 1

f(-1) = 4-1

f(-1) = 3

so

h(f(-1)) = h(3)

now substitute h = 3 in the function h(x) = 2(x - 4)³

h(x) = 2(x - 4)³

h(3) = 2(3 - 4)³

h(3) = 2(-1)³

h(3) = 2(-1)

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Thus,

h(f(-1)) = h(3) = -2

Hence, we conclude that:

h(f(-1))  = -2

∴ option D i.e. -2 is correct.

4 0
2 years ago
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