Vertex Form & Transformations

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

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

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

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

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

• up
• down

Tags

CCSS.HSF-IF.C.7A

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

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

• (-2, 3)
• (2,-3)
• (4,3)
• (2,3)

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

What transformation occurred to y = x² to y = (x - 5)² - 3?

• The graph translated right 5 units and down 3 units
• The graph translated right 3 units and down 5 units
• The graph translated left 5 units and down 3 units
• The graph translated left 3 units and up 5 units

Does the function y = (x+2)² have a maximum or minimum?

• Maximum

• Minimum

• Both

• Neither

Tags

CCSS.HSF-IF.C.7A