Transformations

Question 1;

Using the function f(x) = x² . 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 = x³ .
– 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 = 2x² +6x -7
ii)  y = 4ln(5x +6)
iii) y = 4sin(2x + 5) +1