Algebra II : Transformations of Parabolic Functions

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #44 : Parabolic Functions

Shift  up one unit.  What is the new equation?

Possible Answers:

Correct answer:

Explanation:

Simplify the following equation by using the FOIL method with the binomial.

Simplify all terms in the parentheses.

Replace the term and simplify.

The equation in standard form is:  

Since this parabola is shifted up one unit, add one to the y-intercept.

The answer is:  

Example Question #45 : Quadratic Functions

Write the equation for the parabola after it has been reflected over the y-axis, then shifted up 2 and left 4.

Possible Answers:

Correct answer:

Explanation:

First, reflect the equation over the y-axis by switching the sign of x:

Now shift up 2 by adding 2:

Now shift left 4 by adding 4 to x:

 first expand

Now multiply

Now plug those back in:

combine like terms

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