Vertex Form and Transformations

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²
• f(x) = 5(x + 2)²
• f(x) = (x - 2)² - 5
• f(x) = (x + 2)² + 5

Tags

CCSS.HSG.CO.A.2

Which function has a translation of 7 units down and reflects over the x-axis?

• f(x) = -(x - 7)² + 1
• f(x) = (x + 7)² + 1
• f(x) = -(x - 1)² - 7
• f(x) = (x + 1)² - 7

Tags

CCSS.HSG.CO.A.2

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down

Tags

CCSS.HSF-IF.C.7A

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

Tags

CCSS.HSF.BF.B.3

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

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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

• up
• down

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSF-IF.C.7A

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• shrink by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• shrink by 5, shifted 2 units left and 2 down

Tags

CCSS.HSF.BF.B.3

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

• shrink, left 4, down 5

• stretch, left 4, down 5

• reflection, left 4, down 5

• reflection, shrink, left 4, down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5