Question

What transformations take place by graphing the function below in respect to its parent function? Check all that apply.

Answer 1

Answer:

• Right 7 units
• Up 2 units
• Vertical Stretch

Step-by-step explanation:

Given the function, f(x) = 3/2(x + 7)² + 2,

where:

a = 3/2

vertex (h, k ) = (7, 2)

• The value of a determines whether the graph opens up or down. The value of a  also makes the parent function wider or narrower (vertical stretch by a factor of a ).  If a > 1, the graph is narrower than the parent function.
• The value of h determines how far left or right the parent function is translated. If h is positive, the function is translated h units to the right.
• The value of k determines how far up or down the parent function is translated.  If k is positive, the function is translated k units up.

 

Given these descriptions, we can assume that:

• The function is vertically translated  by 2 units upward.
• The function is horizontally translated  by 7 units to the right.
• Vertical stretch by a factor of 3/2 (or 1.5).

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Answer 2

Answer:

y = x² is the parent

y = 3/2(x+7)²+2 shifts 7 u left, up 2 u, and has vertical compression