Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade10

Easy

Question

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

$g (x) = x^{2} - 6$
$g (x) = - (x - 6)^{2}$
$g (x) = - x^{2} + 6$
$g (x) = - (x + 6)^{2}$

The correct answer is: $g left parenthesis x right parenthesis equals negative x squared plus 6$

The graph of the function translates 6 units up vertically.
$text So, end text g left parenthesis x right parenthesis equals f left parenthesis x right parenthesis plus 6 equals negative x squared plus 6$

Related Questions to study

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

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

MathematicsGrade10

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

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

MathematicsGrade10

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

MathematicsGrade10

parallel

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

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

MathematicsGrade10

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

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

MathematicsGrade10

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

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

MathematicsGrade10

parallel

Identify the parent function of the graph given below.

Identify the parent function of the graph given below.

MathematicsGrade10

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 $g left parenthesis x right parenthesis equals vertical line x vertical line minus 9 space ?$

MathematicsGrade10

How is the function $f left parenthesis x right parenthesis equals 2 to the power of x$ translated to obtain the graph of $g left parenthesis x right parenthesis equals 2 to the power of x plus 7 end exponent ?$

How is the function $f left parenthesis x right parenthesis equals 2 to the power of x$ translated to obtain the graph of $g left parenthesis x right parenthesis equals 2 to the power of x plus 7 end exponent ?$

MathematicsGrade10

parallel

Identify the parent function of the graph given below.

Identify the parent function of the graph given below.

MathematicsGrade10

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

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

MathematicsGrade10

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

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

MathematicsGrade10

parallel

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

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

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

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

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

MathematicsGrade10

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.