Investigate Geometric Transformations

What is the vertex for
f(x)=4(x-2)² + 3

• (-2, 3)
• (2,-3)
• (4,3)
• (2,3)

Does the parabola
f(x)=4(x-2)² + 3
open up or down?

• up
• down

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry for 
f(x)=4(x-2)² + 3

• 4
• 2
• x = -2
• x = 2

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1

What steps transform the graph y = x² to y = x² + 8

• translated up 8 units

• translated down 8 units

• translated left 8 units

• translated right 8 units

What steps transform the graph y = x² to y = (x-4)²

• translated down 4 units

• translated left 4 units

• translated right 4 units

• translated up 4 units

Which transformations were applied to form the red graph from the blue graph?

• Vertical translation

• vertical stretch

• reflection, vertical stretch

• reflection, vertical stretch

Which transformations were applied to form the red graph from the blue graph?

• translated left 4, translated down 5

• vertical stretch, translated left 4, translated down 5

• reflection, translated left 4, translated down 5

• reflection, translated left 4, translated down 5

• reflection

• stretch

• left 4, up 2

• right 4, up 2

• reflection

• stretch

• left 5, up 10

• right 5, up 10