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vichka [17]
1 year ago
13

How does the graph of g(x) = (x + 4)3 − 5 compare to the parent function f(x) = x3

Mathematics
1 answer:
vodka [1.7K]1 year ago
6 0

Transforming the function using f(x - h) shifts its graph h units to the right. Here, we have h = -4, so the graph exists shifted 4 units to the left.

<h3>What are transforming functions?</h3>

The transformations of functions describe how to graph a function that exists moving and how its shape exists being changed. There exist basically three kinds of function transformations: translation, dilation, and reflection.

Let f(x) = x³ be the original function.

When -5 exists added to the y-value, it moves the point on the graph down 5 units. Compared to f(x), g(x) exists 5 units down.

f(x) = (x + 4)³ - 5

= [x- (- 4) ]³ - 5 (shift 4 units in the negative x direction that exists 4 units left)

Transforming the function using f(x - h) shifts its graph h units to the right. Here, we have h = -4, so the graph exists shifted 4 units to the left.

To learn more about transforming functions refer to:

brainly.com/question/14261221

#SPJ9

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-6c^3(13c^4)xxxxxxxxxxxxxxc​
zysi [14]

Answer:

-78c^7

Step-by-step explanation:

-6c^3(13c^4)

  • If we use the exponential product rule, then we can add these two exponents together. Using these rules, you can add exponents together when multiplying two values, or you can subtract two exponents when dividing two values. I'll show them below.
  1. a^b*a^c=a^b^+^c
  2. \frac{a^b}{a^c}=a^b^-^c

-6(13c^3^+^4)

  • Now we combine the rest together like a normal problem and add the exponents.

-78c^7

  • This is our final answer.

6 0
3 years ago
A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint
Zielflug [23.3K]
The corrects letter is f
5 0
3 years ago
Two friends, Autumn and Angel, had just bought their first cars. The equation
Arlecino [84]

Answer:

Angel can travel 14.3 miles more than Autumn on one gallon of gas.

Step-by-step explanation:

that's what your sentence will look like at the end.

4 0
3 years ago
2+{8-2[32+5(1+2)]} Simplify
malfutka [58]
I think the answer is -84
4 0
3 years ago
Read 2 more answers
Functions and Transformations
DaniilM [7]

The new translated function will be more towards the origin , as the value of length is decreased , Option C is the right answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

Area of a Rectangle is 10 sq. unit

Width of the Rectangle is x unit

Length is given by  

l(x) = 10 / x

When the length of the Rectangle is increased by 1 ,

The new function will be

l(x) = 10 /(x+1)

The new translated function will be more towards the origin , as the value of length is decreased ,

This is represented by Graph 3 ,

This can be proved by keeping the value of x

let x = 2

y = 10 /3 = 3.333

This is only in the graph 3 , Therefore Option C is the right answer.

To know more about Function

brainly.com/question/12431044

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6 0
1 year ago
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