Parent functions Quiz 1

Question 1

Sheetal has a graph as shown, which of the parent functions does this graph denote?  <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/9f3502cd-35dc-42b3-8380-164fe745f0aa5304067393001750759.png"/>

Accepted Answer

Sinusoidal Curve

Answer

Cosine Curve

Answer

Tangent Curve

Answer

Cotangent Curve

Question 2

Suppose you have a function that is given as  $$|x-3|$$ you wish to find it’s mirror image using X-axis as the mirror. What will be the equation of the new curve?

Accepted Answer

$$-x+3$$ and $$x-3$$

Answer

$$x-3$$ and $$x-3$$

Answer

$$-x-3$$ and $$x-3$$

Answer

$$x+3$$ and $$x-3$$

Question 3

The graph of a standard mod value as shown is shifted to the right side by three units, using the properties of parent function, what will be the new value of the said function? <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/484681c6-b343-4874-94b6-db907ecb1e1f646730015402259628.png"/>

Accepted Answer

$$|x-3|$$

Answer

$$|x+3|$$

Answer

$$-|x+3|$$

Answer

$$|-x-3|$$

Question 4

A magician works with functions, he takes a parent function denoted by  $$k(x)$$ and transforms it into another function given as $$-f(x)+4$$ . Find the secret of his magic.

Accepted Answer

Reflected over the X-axis and translated 4 units to the positive direction of Y axis

Answer

Reflected around Y-axis and translated 4 units to the positive direction of X-axis.

Answer

Reflected over the X-axis and translated 4 units to the negative direction of Y axis

Answer

Reflected over the Y-axis and translated 4 units to the negative direction of X-axis

Question 5

Pranjali wants to find the domain and range of the parent function is translated such that it is given by $$f(x)=\sqrt{x-1}$$ to help her in finding the values.

Accepted Answer

$$domain=\{x:x\ge 0\}$$ and $$Range=\{y:y\ge 0\}$$

Answer

$$domain=\{x:x\ge 1\}$$ and $$Range=\{y:y\ge 1\}$$

Answer

$$domain=\{x:x > 1\}$$ and $$Range=\{y:y > 1\}$$

Answer

$$domain=\{x:x > 1\}$$ and $$Range=\{y:y\ge 0\}$$