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General

General

Easy

Question

$f left parenthesis x right parenthesis equals left parenthesis x plus 3 right parenthesis left parenthesis x minus k right parenthesis$
The function is defined above. If k is a positive integer, which of the following could represent the graph of y = f(x) in the xy -plane?

hint Hint:

Hint:

A quadratic equation is an equation whose degree is two.

The correct answer is:

Explanation:

We have given a function $f left parenthesis x right parenthesis equals left parenthesis x plus 3 right parenthesis left parenthesis x minus k right parenthesis$

We have find the graph

Step 1 of 1:
The given function $f left parenthesis x right parenthesis equals left parenthesis x plus 3 right parenthesis left parenthesis x minus k right parenthesis$ is a quadratic expression
One of the solution is
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x plus 3 equals 0 end cell row cell x equals negative 3 end cell end table$
When we expand this $x squared plus 3 x minus k x minus 3 k$ .
Since the coefficient of $x squared$ is positive, then graph will open upward.
Therefore option D represent the graph

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