Function Transformations

The equation f(x)=x has transformed to become g(x)= (x-3). How was the graph transformed?

• The graph was shifted 3 units to the left.
• The graph was stretched vertically by a factor of 3.
• The graph was shifted 3 units to the right.
• The graph was reflected over the x-axis.

The equation f(x)=x has transformed to become h(x)= (x+4). How was the graph transformed?

• The graph was shifted 4 units to the left.

• The graph was stretched vertically by a factor of 4.

• The graph was shifted 4 units to the right.

• The graph was reflected over the x-axis.

The equation f(x)=x has transformed to become h(x)= (x-2). How was the graph transformed?

• The graph was shifted 2 units to the left.

• The graph was stretched vertically by a factor of 2.

• The graph was shifted 2 units to the right.

• The graph was reflected over the x-axis.

The equation y=x has transformed to become y=(x+5). How was the graph transformed?

• The graph was shifted 5 units to the right.

• The graph was stretched vertically by a factor of 5.

• The graph was shifted 5 units to the left.

• The graph was reflected over the x-axis.

The equation f(x)=x has been transformed to become g(x)= 2x+3. How was the graph transformed?

• The graph is reflected over the x-axis and shifted down by 3 units.
• The graph is horizontally compressed by a factor of 2 and shifted left by 3 units.
• The graph is shifted right by 2 units and reflected over the y-axis.
• The graph is vertically stretched by a factor of 2 and shifted up by 3 units.

The equation f(x)=x has been transformed to become g(x)= 3(x+3). How was the graph transformed?

• The graph is shifted left by 3 units and stretched vertically by a factor of 3.
• The graph is shifted down by 3 units and stretched horizontally by a factor of 3.
• The graph is reflected over the x-axis and shifted up by 3 units.
• The graph is shifted right by 3 units and compressed vertically by a factor of 3.

The equation f(x)=x has been transformed to become g(x)= 2(x-4). How was the graph transformed?

• The graph is shifted right by 4 units and stretched vertically by a factor of 2.

• The graph is shifted left by 4 units and compressed horizontally by a factor of 2.

• The graph is reflected over the y-axis and shifted down by 4 units.

• The graph is shifted up by 4 units and compressed vertically by a factor of 2.

The equation h(x)=x has been transformed to become k(x)= -3x+1. How was the graph transformed?

• The graph is reflected over the y-axis and shifted up by 1 unit.

• The graph is vertically compressed by a factor of 3 and shifted down by 1 unit.

• The graph is reflected over the x-axis stretched by 3 and shifted up by 1 unit.

• The graph is horizontally stretched by a factor of 3 and shifted left by 1 unit.

The equation f(x)=x has been transformed to become g(x)= -2(x+1). How was the graph transformed?

• The graph is reflected over the y-axis and shifted up by 1 unit.

• The graph is reflected over the x-axis, shifted left by 1 unit, and stretched vertically by a factor of 2.

• The graph is shifted right by 1 unit and compressed vertically by a factor of 2.

• The graph is shifted down by 1 unit and stretched horizontally by a factor of 2.

The equation f(x)=x has been transformed to become g(x)= 0.5(x-6). How was the graph transformed?

• The graph is reflected over the x-axis and shifted up by 6 units.

• The graph is shifted left by 6 units and stretched vertically by a factor of 0.5.

• The graph is shifted down by 6 units and compressed horizontally by a factor of 0.5.

• The graph is shifted right by 6 units and compressed vertically by a factor of 0.5.