**Question 1; **

Using the function f(x) = x^{2 }. State the transformations that occurred in the following statements. Also be sure to find the rule for the transformed graph.

i) – f(4x + 5)

ii) 2f(-x) + 5

iii) f(-9x +3) + 2

**Question 2;**

For the following – build the formula that fits the descriptions.

i) Consider the graph y = x^{3 }.

– Dilated by a factor of ½ parallel to the x axis.

– Reflected in the y axis.

– Moved 3 units in the positive y axis direction and 2 units in the negative x axis.

– Reflected in the y axis.

ii) Consider the graph y = |x|.

– Reflected in the x axis.

– Moved 2 units to the left and 4 units up.

– Dilated by a factor of 3/2 parallel to the x axis.

iii) Consider the graph y = log(x)

– Translated 4 units down in.

– Dilated by a factor of 4 from the y axis.

– Reflected in the y axis.

**Question 3;
State what transformations occurred in the following equations.
i) y = 2x**

^{2 }+6x -7 ii) y = 4ln(5x +6) iii) y = 4sin(2x + 5) +1