Practice Test 3- MATH 103

Determine if the graph is symmetric with respect to x-axis, y-axis, and/or the origin.

• x-axis

• y-axis

• origin

Determine if the graph is symmetric with respect to x-axis, y-axis, and/or the origin.

• x-axis

• y-axis

• origin

How can the graph of f(x) = (x - 4)² - 10 be obtained from the graph of y = x²?

• Shift it 4 units horizontally to the right. Shift it 10 units downward.

• Shift it 10 units horizontally to the right. Shift it 4 units downward.

• Shift it 4 units horizontally to the left. Shift it 10 units upward.

• Shift it 4 units horizontally to the left. Shift it 10 units downward.

How can the graph of f(x) = - (x - 7)² + 9 be obtained from the graph of y = x²?

• Shift it horizontally 7 units to the right. Reflect it across the x-axis. Shift it 9 units up.

• Shift it horizontally 7 units to the left. Reflect it across the x-axis. Shift it 9 units up.

• Shift it horizontally 7 units to the right. Reflect it across the y-axis. Shift it 9 units up.

• Shift it horizontally 7 units to the right. Reflect it across the y-axis. Shift it 9 units down.

Is the following correspondence a function?

• yes

• no

• All real numbers

• 3

• 4

• -4

• 5