Observe the graph and select the statement which is true.

Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.

Write an expression for the function which has a translation by 5 units right of $f left parenthesis x right parenthesis equals cube root of x$ .

A cubic equation is an equation involving a cubic polynomial

Write an expression for the function which has a translation by 5 units right of $f left parenthesis x right parenthesis equals cube root of x$ .

A cubic equation is an equation involving a cubic polynomial

Find the maximum value of $g left parenthesis x right parenthesis equals cube root of x plus 1 end root text for end text 0 less or equal than x less or equal than 7$ .

The minimum and maximum of a function are also called extreme points or extreme values of the function.

Find the maximum value of $g left parenthesis x right parenthesis equals cube root of x plus 1 end root text for end text 0 less or equal than x less or equal than 7$ .

The minimum and maximum of a function are also called extreme points or extreme values of the function.

Find the minimum value of $f left parenthesis x right parenthesis equals cube root of x plus 1 text for end text 1 less or equal than x less or equal than 8$ .

The minimum and maximum of a function are also called extreme points or extreme values of the function.

Find the minimum value of $f left parenthesis x right parenthesis equals cube root of x plus 1 text for end text 1 less or equal than x less or equal than 8$ .

The minimum and maximum of a function are also called extreme points or extreme values of the function.

Evaluate: $cube root of 64$

A cube root can be negative.

Evaluate: $cube root of 64$

A cube root can be negative.

How does the graph $k left parenthesis x right parenthesis equals cube root of x plus 2 end root minus 3$ compared to the graph of $f left parenthesis x right parenthesis equals cube root of x$ ?

Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.

How does the graph $k left parenthesis x right parenthesis equals cube root of x plus 2 end root minus 3$ compared to the graph of $f left parenthesis x right parenthesis equals cube root of x$ ?

Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.

How does the graph $p left parenthesis x right parenthesis equals cube root of x minus 5$ compared to the graph of $f left parenthesis x right parenthesis equals cube root of x$ ?

Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.

How does the graph $p left parenthesis x right parenthesis equals cube root of x minus 5$ compared to the graph of $f left parenthesis x right parenthesis equals cube root of x$ ?

Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.

How does the graph $r left parenthesis x right parenthesis equals cube root of x plus 7 end root$ compared to graph of $f left parenthesis x right parenthesis equals cube root of x$ ?

Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.

How does the graph $r left parenthesis x right parenthesis equals cube root of x plus 7 end root$ compared to graph of $f left parenthesis x right parenthesis equals cube root of x$ ?

Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.

Write an expression for the function which has a translation by 3 units up of $f left parenthesis x right parenthesis space equals space cube root of x$ .

Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.

Write an expression for the function which has a translation by 3 units up of $f left parenthesis x right parenthesis space equals space cube root of x$ .

Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.

Find the minimum value of $g left parenthesis x right parenthesis equals root index 8 of x minus 2 text for end text minus 8 less or equal than x less or equal than 8$ .

For minimum value, we check on extreme points

Find the minimum value of $g left parenthesis x right parenthesis equals root index 8 of x minus 2 text for end text minus 8 less or equal than x less or equal than 8$ .

For minimum value, we check on extreme points

Find the minimum value of $f left parenthesis x right parenthesis equals cube root of x minus 4 end root text for end text minus 4 less or equal than x less or equal than 12$ .

FOr minimum value, we check on extreme points

Find the minimum value of $f left parenthesis x right parenthesis equals cube root of x minus 4 end root text for end text minus 4 less or equal than x less or equal than 12$ .

FOr minimum value, we check on extreme points

$text Given end text g left parenthesis x right parenthesis equals f left parenthesis x minus 3 right parenthesis plus 7 text and end text p left parenthesis x right parenthesis equals g left parenthesis x plus 5 right parenthesis minus 2 text , find the value of h and k in the equation end text p left parenthesis x right parenthesis equals f left parenthesis x minus h right parenthesis plus k text end text$

$text How is the function end text f left parenthesis x right parenthesis equals square root of x text translated to obtain the graph of end text g left parenthesis x right parenthesis equals square root of x plus 3 end root minus 7 ?$

$text How is the function end text f left parenthesis x right parenthesis equals 3 to the power of x text translated to obtain the graph of end text g left parenthesis x right parenthesis equals 3 to the power of x plus 7 ?$

$text The graph end text g left parenthesis x right parenthesis text is the translation of end text f left parenthesis x right parenthesis equals x squared text . Identify the function end text g left parenthesis x right parenthesis text of the graph given below. end text$