2.Describing Transformation of Function

How can the graph of g(x) = -2|x| be obtained from the graph of f(x) = |x|?

• Stretch it vertically by -2. Reflect it across the x-axis.

• Shrink it vertically by 2. Reflect it across the y-axis.

• Shrink it vertically by -2. Reflect it across the y-axis.

• Stretch it vertically by 2. Reflect it across the x-axis.

How can the graph of g(x) = -√x + 9 be obtained from the graph of f(x) = √x?

• Shift 9 units to the up. Reflect it across the x-axis.

• Shift 9 units to the down. Reflect it across the y-axis.

• Shift -9 units to the up. Reflect it across the x-axis.

• Shift 9 units to the down. Reflect it across the x-axis.

Tags

CCSS.HSF.BF.B.3

How can the graph of g(x) = -2x³ + 8 be obtained from the graph of f(x) = x³?

• Stretch it vertically by 2. Reflect it across the y-axis. Shift it 8 units upward.

• Shrink it vertically by 2. Reflect it across the x-axis. Shift it 2 units upward.

• Stretch it vertically by 2. Reflect it across the x-axis. Shift it 8 units upward.

• Stretch it vertically by 2. Reflect it across the x-axis. Shift it 8 units downward.

Tags

CCSS.HSF.BF.B.3

How can the graph of g(x) = (x - 9)² - 10 be obtained from the graph of f(x) = x²?

• Shift 10 units to the right and 9 units downward.

• Shift 9 units to the right and 10 units downward.

• Shift 9 units to the left and 10 units upward.

• Shift 9 units to the left and 10 units downward.

How can the graph of g(x) = -(x - 7)² + 11 be obtained from the graph of f(x) = x²?

• Shift it 7 units to the right. Reflect it across the y-axis. Shift it 11 units up.

• Shift it 7 units to the left. Reflect it across the x-axis. Shift it 11 units up.

• Shift it 7 units to the right. Reflect it across the y-axis. Shift it 11 units down.

• Shift it 7 units to the right. Reflect it across the x-axis. Shift it 11 units up.

The graph of f(x) = x² is shifted 4 units to the left. This graph is then vertically stretched by a factor of 6 and

reflected across the x-axis. Finally, the graph is shifted 8 units downward.

• y = -6(x + 4)² - 8

• y = 6(x +4)² - 8

• y = -6(x - 4)² - 8

• y = -6(x + 8)² - 4

The graph of f(x) = x² is shifted 2 units to the left and 10 units downward.

• y = (x + 2)² - 10

• y = (x + 10)² - 2

• y = (x - 10)² + 2

• y = (x - 2)² - 10

The graph of f(x) = x² is vertically stretched by a factor of 2, and the resulting graph is reflected across the x-axis.

• f(x) = -2x²

• f(x) = (x - 2)²

• f(x) = 2(x - 2)x²

• f(x) = 2x²

The graph of f(x) = x⁴ shifted right 8 units and up 4 units.

• y = - (x - 8)⁴ + 4

• y = (x + 8)⁴ - 4

• y = (x - 8)⁴ + 4

• y = - (x - 8)⁴ + 32

Tags

CCSS.HSF.BF.B.3

The graph of f(x) = x³ is vertically stretched by a factor of 3, and the resulting graph is reflected across the y-axis.

• f(x) = -3x³

• f(x) = 3(-x)³

• f(x) = 3(x)³

• f(x) = (-x - 3)²

Tags

CCSS.HSF.BF.B.3