. A graph is produced by applying the following transformations, in order, to the graph of . Write the equation.

Question

reflection in the -axis

horizontal stretch by a factor of 2

horizontal translation, left 5 units

vertical translation, down 3 units
b). If steps 2 and 3 of the transformations were interchanged, what would be the equation of graph?

Answer 1

a) The equation of the graph after the given transformations would be:

y = -2*(x + 5)² - 3

b) If steps 2 and 3 of the transformations were interchanged, the equation of the graph would be:

y = -2*(2x + 5)² - 3