Mathematics, 23.06.2019 22:50 kumoichie
State the various transformations applied to the base function ƒ(x) = x^2 to obtain a graph of the function g(x) = −2[(x − 1)^2 + 3]. (a) a reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 2 units to the right, and a vertical shift downward of 6 units. (b) a reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units. (c) a reflection about the y-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units. (d) a reflection about the y-axis, a vertical stretch by a factor of 2, a horizontal shift of 2 units to the right, and a vertical shift downward of 6 units.
Answers: 1
represents the transformations made to the graph of 
then, by definition:
then the graph is compressed vertically by a factor c.
then the graph is stretched vertically by a factor c
then the graph is reflected on the x axis.
the graph moves vertically upwards b units.
the graph moves vertically down b units
then the graph of f(x) moves horizontally h units to the left
then the graph of f(x) moves horizontally h units to the right
and our parent function is 
and 
and 
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State the various transformations applied to the base function ƒ(x) = x^2 to obtain a graph of the f...
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