Week 6 Assignment - Parent Functions

Mr. Osso

Parent Functions

11. Blooket

10. Logarithmic

9. Exponential

7. Cubic

6. Review Video

5. Reciprocal

4. Square Root

3. Quadratic

2. Absolute Value

8. Cube Root

1. Linear

What will be learning about today?

Linear

• One of the most basic parent functions
• The equation of this parent function is:
• y = x
• The graph is a diagonal line that passes through the origin and has a slope of 1.

• The y-values of the graph must be greater than or equal to zero.
• The equation of the parent function is:
• y = |x|
• A V-shaped graph that has a corner at the origin

Absolute Value

Quadratic

• The y-values of this parent function will be greater than or equal to zero
• The equation of this parent function is:
• y = x2
• A U-Shaped graph that passes through the origin

Square Root

• The x or y values can never be negative due to the restrictions of the square root
• The equation of this parent function is:
• y =
• A graph that starts at the origin and slowly increases in the positive direction

Reciprocal

• Has two separate graphs for the parent function due to the fraction

• The equation of this parent function is:
• y = ---
• There is an asymptote at x = 0 because you cannot divide by 0.
• Does not pass through origin

This video will go over the parent functions that we just went over and possible transformations that can happen to them. Focus on the base parent functions and NOT the transformations as we will get into that next chapter. Disregard the constant parent function as we will not need that for our curriculum.

Video

• Similar to the quadratic parent function with exponent
• 3 instead of 2
• The equation of this parent function is:
• y = x3
• This graph can be in the negatives
• A negative number to the third power is still negative
• Passes through origin

Cubic

Cube Root

• Equation similar to the square root parent function
• Graph similar to the cubic parent function.
• The equation of this parent function is:
• y =
• The graph is like the cubic function, but horizontal rather than vertical
• Passes through origin

Exponential

• A graph that increases exponentially
• Starts with some constant to the power of x
• The equation of this parent function is:
• y = bx
• B is some constant
• X-values can be negative
• Graph will never go below x-axis because y is always greater than 0
• Does not pass through origin

Logarithmic

• Starts below x-axis and gradually increases
• The equation of this parent function is:
• y = log b x
• B is some constant
• Cannot input x-values less than or equal to 0 due to restrictions of function
• Y-values can be negative for smaller x-values
• Does not pass through origin

Link:

https://play.blooket.com/play?hwId=6744e1cee758bfa6c352c836 Put link in browser and review!

Test your knowledge with the Blooket!