Question

Which function below will translate f(x) = x2 left 5 units and down 1 unit?

Answer 1

Answer:

its c. trust me

Step-by-step explanation:

Answer 2

The resultant function of the parent function f(x) = x²,  which is translate left 5 units and down 1 unit, is  f(x) = (x+5)^2-1.

What is transformation of a function?

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

• Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
• Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.

The given function is,

$f(x) = x^2$

It has to be translated left 5 units. For this we have to add 5 units in the above function. Thus the function become,

$f(x) = (x+5)^2$

Now the function is translated down 1 unit. For this we have to substract 1 units outside of the above function. Thus the function become,

$f(x) = (x+5)^2-1$

Hence, the resultant function of the parent function f(x) = x²,  which is translate left 5 units and down 1 unit, is  f(x) = (x+5)^2-1.

Learn more about the transformation of a function here;

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