I don't understand what this question wants...:(

Question

1. Given the following transformations, a vertical stretch of 2, a horizontal reflection, a horizontal translation 3 left and a vertical translation 2 up, write 4 equations, one for each types of parent functions we have covered so far

I study 11 Grade math in ontario and I have been learning about function.

I want to know how can I solve this problem without parent function

Answer 1

just pick an easy parent function, such as f(x) = x or y=x

vertical stretch of 2 is y=2x

horizontal reflection is y=-2x, a reflection around the x axis

3 left means the line is shifted to the left by 3 units

y= -2(x+3)

2 up means add 2

y=-2(x+3)+2

or maybe your class has been doing quadratic functions

then try y=x^2

vertical stretch: y= 2x^2

horizontal reflection y=-2x^2

left shift y=-2(x+3)^2

vertical shift y=-2(x+3)^2 + 2