contestada

Write a rule for the function whose graph can be obtained from the given parent function by performing the given transformations. parent function: f(x)=x^3
transformation: shift the graph 5 units to the left and upward 4 units

Respuesta :

kudzordzifrancis

ANSWER

[tex]g(x) = {(x + 5)}^{3} + 4[/tex]

EXPLANATION

Given the parent function:

[tex]f(x) = {x}^{3} [/tex]

If we shift the graph of f(x), 5 units to the left, then the new rule is

[tex]x \to \: {(x + 5)}^{3} [/tex]

If we again, shift this graph upward by 4 units, then the completely transformed function will have the rule,

[tex]x \to \: {(x + 5)}^{3} + 4[/tex]

Or

[tex]g(x) = {(x + 5)}^{3} + 4[/tex]

ashishdwivedilVT

The obtained function after performing translations in left and upward directions is f(x) = 4+(x+5)³.

It is given that

Parent function f(x)= x³

How shifting of the graph takes place?

If a graph is shifted k units to the left, then x is replaced by x+k while if a graph is shifted k unit upward, f(x) becomes f(x)+k.

If the graph of the given function f(x) is shifted 5 units to the left.

Function f(x)=x³ will become f(x) = (x+5)³

If graph is shifted further 4 units upward

Function f(x) will become f(x) = 4+(x+5)³

Therefore, the obtained function after performing translations is

f(x) = 4+(x+5)³

To get more about graphs visit:

https://brainly.com/question/4680675

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE

Otras preguntas