What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 1/5x^2 +12?
O A. The graph of f(x) is horizontally compressed by a factor of 5 and
shifted 12 units up.
O B. The graph of f(x) is horizontally stretched by a factor of 5 and
shifted 12 units to the left.
C. The graph of f(x) is vertically compressed by a factor of 5 and
shifted 12 units up.
O D. The graph of f(x) is vertically compressed by a factor of 5 and
shifted 12 units to the left.
PREVIOUS
Answers
As per transformation of graph, h(x) = ([tex]\frac{1}{5}[/tex])x² + 12 represents that the graph of f(x) is horizontally compressed by a factor of 5 and shifted up 12 units.
What is the transformation of a graph?"Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It's a common type of problem in algebra, specifically the modification of algebraic equations.
Given, the graph is f(x) = x².
We know that, at the time of horizontally compressing a graph we need to multiply it by a factor of ([tex]\frac{1}{a}[/tex]).
Again, at the time of shifting a graph up we need to add a positive number of (b).
Therefore, a = 5 and b = 12.
Now, if we horizontally compress f(x) it by a factor of ([tex]\frac{1}{5}[/tex]) then it be ([tex]\frac{1}{5}[/tex])x².
Again, if we shifted up f(x) by 12 units, then it be ([tex]\frac{1}{5}[/tex])x² + 12.
Therefore, h(x) = ([tex]\frac{1}{5}[/tex])x² + 12 represents that the graph of f(x) is horizontally compressed by a factor of 5 and shifted 12 units up.
Learn more about the transformation of a graph here: https://brainly.com/question/10059147
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