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3 years ago

Suppose f (x) = x^3 . Find the graph of f (x - 4)

Mathematics

2 answers:

bekas [8.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

Given that ;

f(x)= x³

f(x)-4 = x³- 4

See attached graph using the graph tool

Mama L [17]3 years ago

5 0

Answer:

graph 3

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x) by c units

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus f(x) - 4 is the graph of f(x) shifted 4 units down → graph 3

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Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per we

Ksenya-84 [330]

Part a) Use a system of inequalities to model the scenario

Let

x-------> represent babysitting hours

y-------> represent tutoring hours

we know that

$x+y \leq20$ --------> inequality $1$

$6x+10y \geq 75$ --------> inequality $2$

Part b) Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week

we know that

$x+y \leq20$ --------> inequality $1$

This inequality represent Jeanne’s possible number of hours worked this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N $1$

$6x+10y \geq 75$ --------> inequality $2$

This inequality represent Jeanne’s probable income earned this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N $2$

Part c) Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model

we have the system of inequalities

$x+y \leq20$ --------> inequality $1$

$6x+10y \geq 75$ --------> inequality $2$

the solution of the system of inequalities is the shaded area

using a graph tool

see the attached figure N $3$