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Mathematics

Grade10

Easy

Question

$text How is the function end text f left parenthesis x right parenthesis equals cube root of x space t r a n s l a t e d space t o space o b t a i n space t h e space g r a p h space o f space g left parenthesis x right parenthesis equals cube root of x minus 5 end root ?$

Shifts 5 units down
Shifts 5 units up
Shifts 5 units left
Shifts 5 units right

The correct answer is: Shifts 5 units right

$g left parenthesis x right parenthesis equals f left parenthesis x minus 5 right parenthesis text compared with end text g left parenthesis x right parenthesis equals f left parenthesis x minus h right parenthesis text Here end text h equals 5 greater than 0 text So, the graph translates end text 5 text units right. end text$

Related Questions to study

$H o w space i s space t h e space f u n c t i o n space f left parenthesis x right parenthesis equals x squared space t r a n s l a t e d space t o space o b t a i n space t h e space g r a p h space o f space g left parenthesis x right parenthesis equals x squared plus 2 ?$

$H o w space i s space t h e space f u n c t i o n space f left parenthesis x right parenthesis equals x squared space t r a n s l a t e d space t o space o b t a i n space t h e space g r a p h space o f space g left parenthesis x right parenthesis equals x squared plus 2 ?$

MathematicsGrade10

$text A businessman's monthly profit, in thousands of dollars, can be modelled by the function end text g left parenthesis x right parenthesis equals 2 x squared minus 5 x plus 3 text . Select the true statement. end text$

$text A businessman's monthly profit, in thousands of dollars, can be modelled by the function end text g left parenthesis x right parenthesis equals 2 x squared minus 5 x plus 3 text . Select the true statement. end text$

MathematicsGrade10

$text The monthly sale of a new bike can be modelled by the function end text f left parenthesis x right parenthesis equals cube root of x minus 1 end root plus 4. text Select that is true about the feature of the function. end text$

$text The monthly sale of a new bike can be modelled by the function end text f left parenthesis x right parenthesis equals cube root of x minus 1 end root plus 4. text Select that is true about the feature of the function. end text$

MathematicsGrade10

parallel

$text Find the maximum value of the function end text r left parenthesis x right parenthesis equals 2 minus square root of x plus 1 end root$

$text Find the maximum value of the function end text r left parenthesis x right parenthesis equals 2 minus square root of x plus 1 end root$

MathematicsGrade10

$text Find the end text x text -intercept and end text y text -intercept of the function end text p left parenthesis x right parenthesis equals 1 minus 5 x text . end text$

$text Find the end text x text -intercept and end text y text -intercept of the function end text p left parenthesis x right parenthesis equals 1 minus 5 x text . end text$

MathematicsGrade10

Identify the function that has a minimum value of 1.

Identify the function that has a minimum value of 1.

MathematicsGrade10

parallel

Find the x-intercept of the function x² - 2.

Find the x-intercept of the function x² - 2.

MathematicsGrade10

James started a small business. Over the days the profit is represented by the function $r left parenthesis x right parenthesis equals square root of x minus 5 end root plus 2$ .
Find the domain of the function r(x).

James started a small business. Over the days the profit is represented by the function $r left parenthesis x right parenthesis equals square root of x minus 5 end root plus 2$ .
Find the domain of the function r(x).

MathematicsGrade10

James started a small business. Over the days the profit is represented by the function $r left parenthesis x right parenthesis equals square root of x minus 5 end root plus 2$ .
Find the minimum value of the function r(x).

James started a small business. Over the days the profit is represented by the function $r left parenthesis x right parenthesis equals square root of x minus 5 end root plus 2$ .
Find the minimum value of the function r(x).

MathematicsGrade10

parallel

James started a small business. Over the days the profit is represented by the function $r left parenthesis x right parenthesis equals square root of x minus 5 end root plus 2$ .
Find the range of the function r(x).

James started a small business. Over the days the profit is represented by the function $r left parenthesis x right parenthesis equals square root of x minus 5 end root plus 2$ .
Find the range of the function r(x).

MathematicsGrade10

State the equation of the axis of symmetry for the given graph below.

So, the equation of the axis of symmetry for the given graph is is x = -3.

State the equation of the axis of symmetry for the given graph below.

MathematicsGrade10

So, the equation of the axis of symmetry for the given graph is is x = -3.

Find the domain of the function $p left parenthesis x right parenthesis equals negative 2 to the power of x$ .

Find the domain of the function $p left parenthesis x right parenthesis equals negative 2 to the power of x$ .

MathematicsGrade10

parallel

Find the domain and range of the function from the graph.

Therefore, for the given graph Domain is [-2, 2] and Range is [1, 5].

Find the domain and range of the function from the graph.

MathematicsGrade10

Therefore, for the given graph Domain is [-2, 2] and Range is [1, 5].

Find the y-intercept of the graph of the function.

Find the y-intercept of the graph of the function.

MathematicsGrade10

Find the x-intercept of the graph of the function.

Find the x-intercept of the graph of the function.

MathematicsGrade10

parallel

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