Completing the Square, Standard to Vertex Form

Which of the following forms are best to use if we want to identify the vertex of a quadratic equation?

• Standard Form
• Vertex Form
• Intercept Form

What is the vertex of the equation
y= (x-12)²+7 ?

• (1,7)
• (-12, 7)
• (7,12)
• (12, 7)

Tags

CCSS.HSA.REI.B.4

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

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

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

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

Which of the following equations is in vertex form?

• f(x) = x² + 6x - 2
• f(x) = (x - 1)² + 2

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

What is the vertex of
f(x) = (x - 1)² + 2?

• (-1, 2)
• (-1, -2)
• (1, 2)
• (1, -2)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

• f(x) = (x + 6)² + 142
• f(x) = (x + 6)² - 34
• f(x) = (x + 6)² - 38
• f(x) = (x + 6)² + 34

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

Rewrite into standard form: f(x) = 2(x-3)²-1

• f(x)=2x²-17
• f(x)=2x²-12x+8
• f(x)=2x²-12x+17
• f(x)=2x²-19

Which of the following equations shows the vertex form of a quadratic?

• x = -b/2a
• x = (-b ±√b² - 4ac)/2a
• y = ax² + bx + c
• y = a(x - h)² + k

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.B.4

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