Mathematics

Grade10

Easy

Question

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

Vertical translation by 7 units up
Horizontal translation by 7 units left
Vertical translation by 7 units down
Horizontal translation by 7 units right

hint Hint:

A function in maths is a special relationship among the inputs (i.e. the domain) and their outputs (known as the codomain) where each input has exactly one output and the output can be traced back to its input.

The correct answer is: Horizontal translation by 7 units left

Here, the graph $r left parenthesis x right parenthesis equals cube root of x plus 7 end root$ has a translation by 7 units left when 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.

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 $f left parenthesis x right parenthesis space equals space cube root of x$ .

MathematicsGrade10

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

Grade10

Mathematics

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

MathematicsGrade10

For minimum value, we check on extreme points

Grade10

Mathematics

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

MathematicsGrade10

FOr minimum value, we check on extreme points

Grade10

Mathematics

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

MathematicsGrade10

Grade10

Mathematics

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

MathematicsGrade10

Grade10

Mathematics

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

MathematicsGrade10

Grade10

Mathematics

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

MathematicsGrade10

Grade10

Mathematics

$text Given end text g left parenthesis x right parenthesis equals f left parenthesis x minus 1 right parenthesis minus 5 text and end text j left parenthesis x right parenthesis equals g left parenthesis x plus 3 right parenthesis minus 4 comma space text find the value of end text h text and end text k text in the equation end text j left parenthesis x right parenthesis equals f left parenthesis x minus h right parenthesis plus k text end text$

MathematicsGrade10

Grade10

Mathematics

$text How is the function end text f left parenthesis x right parenthesis equals 2 to the power of x text translated to obtain the graph of end text g left parenthesis x right parenthesis equals 2 to the power of x minus 5 end exponent plus 3 ?$

MathematicsGrade10

Grade10

Mathematics

Write the function for the graph if its parent function is given by $f left parenthesis x right parenthesis equals cube root of x$

MathematicsGrade10

Grade10

Mathematics

$text How is the function end text f left parenthesis x right parenthesis equals cube root of x text translated to obtain the graph of end text g left parenthesis x right parenthesis equals cube root of x minus 19 ?$

MathematicsGrade10

Grade10

Mathematics

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

MathematicsGrade10

Grade10

Mathematics

$text The graph end text g left parenthesis x right parenthesis text is the translation of end text f left parenthesis x right parenthesis equals square root of x text . Identify the function g(x) of the graph given below: end text$

MathematicsGrade10

Grade10

Mathematics

Identify the parent function of the graph given below.

MathematicsGrade10

Grade10

Mathematics

How is the function $f left parenthesis x right parenthesis equals vertical line x vertical line$ translated to obtain the graph of $g left parenthesis x right parenthesis equals vertical line x vertical line minus 9 space ?$

MathematicsGrade10

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How does the graph compared to graph of ?

Vertical translation by 7 units upHorizontal translation by 7 units leftVertical translation by 7 units downHorizontal translation by 7 units right

A function in maths is a special relationship among the inputs (i.e. the domain) and their outputs (known as the codomain) where each input has exactly one output and the output can be traced back to its input.

The correct answer is: Horizontal translation by 7 units left

Here, the graph has a translation by 7 units left when compared to the graph of .

Related Questions to study

Write an expression for the function which has a translation by 3 units up of .

Write an expression for the function which has a translation by 3 units up of .

Find the minimum value of .

Find the minimum value of .

Find the minimum value of .

Find the minimum value of .

Write the function for the graph if its parent function is given by

Write the function for the graph if its parent function is given by

Identify the parent function of the graph given below.

Identify the parent function of the graph given below.

How is the function translated to obtain the graph of

How is the function translated to obtain the graph of

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

Vertical translation by 7 units up
Horizontal translation by 7 units left
Vertical translation by 7 units down
Horizontal translation by 7 units right

Here, the graph $r left parenthesis x right parenthesis equals cube root of x plus 7 end root$ has a translation by 7 units left when compared to the graph of $f left parenthesis x right parenthesis equals cube root of x$ .

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

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

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

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

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

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

Write the function for the graph if its parent function is given by $f left parenthesis x right parenthesis equals cube root of x$

Write the function for the graph if its parent function is given by $f left parenthesis x right parenthesis equals cube root of x$

How is the function $f left parenthesis x right parenthesis equals vertical line x vertical line$ translated to obtain the graph of $g left parenthesis x right parenthesis equals vertical line x vertical line minus 9 space ?$

How is the function $f left parenthesis x right parenthesis equals vertical line x vertical line$ translated to obtain the graph of $g left parenthesis x right parenthesis equals vertical line x vertical line minus 9 space ?$