Question
Consider the equation y=-2√3x-12 -5
a. Write the equation in function notation, y=af(k(x-c))+d.
b. Describe the transformations that have taken place from base the function.
a. Write the equation in function notation, y=af(k(x-c))+d.
b. Describe the transformations that have taken place from base the function.
Answers
Steve
I assume you mean
y = -2√(3x-12)-5
= -2√(3(x-4)) - 5
so, the function √x has been shifted right by 4, scaled horizontally by a factor of 1/3, reflected over the x-axis, stretched vertically by a factor of 2, and shifted down 5.
y = -2√(3x-12)-5
= -2√(3(x-4)) - 5
so, the function √x has been shifted right by 4, scaled horizontally by a factor of 1/3, reflected over the x-axis, stretched vertically by a factor of 2, and shifted down 5.