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natita [175]
3 years ago
13

If you shift the absolute value parent function, F(x) = |x|, left 4 units, what is the equation of the new function?

Mathematics
1 answer:
san4es73 [151]3 years ago
7 0

Answer:

The equation of new function is: G(x)=|x+4|

Step-by-step explanation:

We are given:

If you shift the absolute value parent function, F(x) = |x|, left 4 units,

We need to find:

the equation of the new function

We know that: If we have parent function f(x) and g(x)=f(x+c) there will be horizontal translation left c units.

We are parent function, F(x) = |x|

So, Our function went translation of 4 units left

So, the new function will be:

G(x)=|x+4|

So, The equation of new function is: G(x)=|x+4|

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C.(f-g)(x) = 4x^3 +5x²-7x-1

Step-by-step explanation:

Given information :

f(x) = 4 {x}^{3}  + 5 {x}^{2}  - 3x - 6 \\ g(x) = 4x - 5

Find :

(f - g)(x) =  \\ (4 {x}^{3}  + 5 {x}^{2}  - 3x - 6) \\  - 4x -5

Open bracket and Simplify

4 {x}^{3}  + 5 {x}^{2}  - 3x - 6 - 4x + 5 \\ 4 {x}^{3}  + 5 {x}^{2}  - 7x - 1

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3 years ago
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The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?
nignag [31]

Answer:

B. g(x)=(x+7)^2-3

Step-by-step explanation:

Vertex form is F(x)= a(x-h)^2+k

a is the reflection

h and k are the vertex (x,y) = (h,k)

in this case there is no shrink or stretch (a)

if it is translating left or right it is "h". In this case it is translated left so its -7.  However if you look at vertex form it is "x-h" so -7-7= +7

If it translating up or down it is "K".  In this case it is translated down so its -3.  

If it was translated up or right then its positive.  If it was translated down or left its negative.

After you figure out what h and k are then you just plug it in.  h=-7, k=-3

so the answer in vertex form is, g(x)=(x+7)^2-3

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2 years ago
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Answer:

<h2>download the app photomath and right your solution </h2>
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3 years ago
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Hey there!

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= -4.36 - 0.852

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Therefore, your answer is: -5.212

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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