these questions have to do with function transformations and finding the domain and range of a graph please show all of your work so it is easier to understand

1) Given the graph of y = f (x), determine the domain and range of y = f (3x). The smallest value of the domain goes in answer box 1 and the largest value of the domain goes in answer box 2. The smallest value of the range goes in answer box 3 and the largest value of the range goes in answer box 4.

within the graph the coordinates are A(-6,7), B(-3,0), C(0,4), D(3,0),E(6,7)

2) Given the graph of y = f (x), determine the domain and range of y = f ((1/2)x). The smallest value of the domain goes in answer box 1 and the largest value of the domain goes in answer box 2. The smallest value of the range goes in answer box 3 and the largest value of the range goes in answer box 4.If the answer is not an integer use fractions in the form of a/b.

within the graph the coordinates are A(-6,7), B(-3,0), C(0,4), D(3,0),E(6,7)

3) Given the graph of y = f (x), determine the domain and range of y = f ((1/5)x). The smallest value of the domain goes in answer box 1 and the largest value of the domain goes in answer box 2. The smallest value of the range goes in answer box 3 and the largest value of the range goes in answer box 4. If the answer is not an integer use fractions in the form of a/b.

within the graph the coordinates are (A-6,7), B(-3,0), C(0,4), D(3,0),E(6,7)

4)Given the graph of y = f (x), determine the domain and range of y = 2f (x). The smallest value of the domain goes in answer box 1 and the largest value of the domain goes in answer box 2. The smallest value of the range goes in answer box 3 and the largest value of the range goes in answer box 4.

the coordinates of the original graph are A(-4,3), B(-2,-2), C( 0,1), D(2,-2),E(4,3)

5)Given the graph of y = f (x), determine the domain and range of y = 4f (x). The smallest value of the domain goes in answer box 1 and the largest value of the domain goes in answer box 2. The smallest value of the range goes in answer box 3 and the largest value of the range goes in answer box 4.

the coordinates of the original graph are A(-4,3), B(-2,-2), C( 0,1), D(2,-2),E(4,3)

6)Describe what happens to the graph of a function y = f (x) after the following changes are made to its equation.

Replace x with (1/5)x	vertically stretched by a factor of 1/3. Think of it like this, 3y = f(x), divide both sides by 3 and you have y = f(x)/3 = f(x)vertically stretched by a factor of 4 and reflected in the x-axishorizontally stretched by a factor of 1/4 and reflected in the y-axisvertically stretched by a factor of 3 - (1/3)y = f(x) multiply both sides by 3 to get y = 3f(x)horizontally stretched by a factor of 5horizontally stretched by a factor of 1/5
Replace x with -4x	Answer 2 Choose vertically stretched by a factor of 1/3. Think of it like this, 3y = f(x), divide both sides by 3 and you have y = f(x)/3 = f(x) vertically stretched by a factor of 4 and reflected in the x-axis horizontally stretched by a factor of 1/4 and reflected in the y-axis vertically stretched by a factor of 3 - (1/3)y = f(x) multiply both sides by 3 to get y = 3f(x) horizontally stretched by a factor of 5horizontally stretched by a factor of 1/5
Replace x with 5x	Answer 3 Choose vertically stretched by a factor of 1/3. Think of it like this, 3y = f(x), divide both sides by 3 and you have y = f(x)/3 = f(x) vertically stretched by a factor of 4 and reflected in the x-axis horizontally stretched by a factor of 1/4 and reflected in the y-axis vertically stretched by a factor of 3 - (1/3)y = f(x) multiply both sides by 3 to get y = 3f(x) horizontally stretched by a factor of 5horizontally stretched by a factor of 1/5
Replace y with -(1/4)y	Answer 4 Choose... vertically stretched by a factor of 1/3. Think of it like this, 3y = f(x), divide both sides by 3 and you have y = f(x)/3 = f(x) vertically stretched by a factor of 4 and reflected in the x-axis horizontally stretched by a factor of 1/4 and reflected in the y-axis vertically stretched by a factor of 3 - (1/3)y = f(x) multiply both sides by 3 to get y = 3f(x) horizontally stretched by a factor of 5horizontally stretched by a factor of 1/5
Replace y with 3y	Answer 5 Choose... vertically stretched by a factor of 1/3. Think of it like this, 3y = f(x), divide both sides by 3 and you have y = f(x)/3 = f(x) vertically stretched by a factor of 4 and reflected in the x-axis horizontally stretched by a factor of 1/4 and reflected in the y-axis vertically stretched by a factor of 3 - (1/3)y = f(x) multiply both sides by 3 to get y = 3f(x) horizontally stretched by a factor of 5horizontally stretched by a factor of 1/5
Replace y with (1/3)y	Answer 6 Choose... vertically stretched by a factor of 1/3. Think of it like this, 3y = f(x), divide both sides by 3 and you have y = f(x)/3 = f(x) vertically stretched by a factor of 4 and reflected in the x-axis horizontally stretched by a factor of 1/4 and reflected in the y-axis vertically stretched by a factor of 3 - (1/3)y = f(x) multiply both sides by 3 to get y = 3f(x) horizontally stretched by a factor of 5horizontally stretched by a factor of 1/5