Effects on Graphs

The graph of the function y = x² is shown. How will the graph change if the equation is changed to y = -x²?

• The parabola will move down 1 unit.
• The parabola will move to the left 1 unit.
• The parabola will move to the right 1 unit.
• The parabola will be reflected across the x-axis.

The graph of the equation y = x² is shown. Which equation will shift the graph up 6 units?

• y = x² + 3
• y = x² - 6
• y = x² + 6
• y = (x + 6)²

The equation y = (x + 3)² - 5 has a vertex of, 

• (3,-5)
• (-3,-5)
• (3,5)
• (-3,5)

The graph of the function y = x² + 2 is shown. Which equation will shift the graph of the function down 4 units.

• y = x² + 6
• y = x² - 2
• y = (x + 4)² + 2
• y = (x - 4)² + 2

The graph of the function y = x² is shown. How will the graph change if the equation is changed to y = 1/4x²?

• The parabola will become wider.
• The parabola will become narrower.
• The parabola will move up 1/4 unit.
• The parabola will move down 1/4 unit.

Heather is going to graph y = -3x² + 3. How is the parent graph transformed?

• The parent graph is reflected over the x-axis, has a vertical stretch by a factor of 3 and is shifted up 3 units.
• The parent graph is reflected over the y-axis, has a vertical stretch by a factor of 3 and is shifted up 3 units.
• The parent graph is reflected over the y-axis, has a vertical stretch by a factor of 3 and is shifted left 3 units.
• The parent graph is reflected over the x-axis, has a vertical compression by a factor of 3 and is shifted up 3 units.

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Tags

CCSS.HSF.BF.B.3

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

Tags

CCSS.HSF.BF.B.3

Which equation is an absolute value graph shifted right 5 units?

• y = |x - 5|
• y = |x + 5|
• y = |x| + 5
• y = -5|x|

Tags

CCSS.HSF.BF.B.3

Describe the transformation.

• up 3

• down 3

• left 3

• right 3

Tags

CCSS.HSF.BF.B.3