12-6 ATB Algebra 2

Explain the transformation of this graph when compared with y = x²:

y= - (x - 1)² + 11

• right 1 , up 11

• vertically reflected, right 1, down 11

• reflected, right 1, up 11

• left 1, up 11

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

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

Which of the following is the correct equation for the given graph?

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

• 
• 
• 
• 

Which quadratic function is represented by the graph?

• y = 2(x - 5)² + 4

• y = -2(x + 4)² + 5

• y = -2(x - 4)² + 5
• y = -2(x + 5)² + 4

The parabola y = 3(x + 1)² + 3 has a vertex of

• (3, 3)

• (1, 3)

• ( - 1, 3)

• (3, -1)

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

Write the equation of a parabola that has shifted 4 units to the right, 5 units down, and has flipped over the x-axis.

• y = - (x - 5)² + 4

• y = - (x - 4)² - 5

• y = - (x + 4)² - 5

• y = - (x + 5)² + 4

What is the equation for the parabola that has a vertex at (2, 5) and also goes through the point (4, 1)?

What is the equation for the parabola that has a vertex at (1, -2) and also goes through the point (-1, 4)?