Transforming quadratics

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

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)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSF-IF.C.7A

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 is the vertex of the function   y = (x - 3)² + 5

• (-3, 5)
• (3, -5)
• (-3, -5)
• (3, 5)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain of the graph?

• x≤4

• x>4

• x>0

• all real numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the graph?

• all real numbers

• y≤-1

• y≥-1

• y≥3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Does the equation open or or down? 
Y = -3x² +7x - 2

• up
• down

Does the equation have a max or min?
y = 2x² + 7x + 5

• max
• min