Quadratics: Standard to Vertex Form

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)

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

Write y = x² + 4x - 1 in vertex form.

• y = (x - 2)² + 5
• y = (x + 2)² - 5
• y = (x + 2)² - 1
• y = (x +2)² + 3

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

Find the vertex of 
f(x) = -x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex for y = -4x² - 32x - 59

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

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

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

Convert the equation
y= x²-2x-5
into vertex form. 

• y= (x-1)²-6
• y= -(x-1)²-6
• y= (x+1)²-6
• y= -(x+6)²-1

Convert the equation
y= x²+4x
into vertex form. 

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