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Example Questions
Example Question #21 : Transformations Of 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 #22 : Transformations Of Parabolic 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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