Quadratic Standard Form to Vertex Form

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.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Determine the vertex of the parabola y=5(x-2)²–7

• (5, -7)

• (-2, -7)

• (2, -7)

• (-7, -2)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

 $y=-3(x+5)^2-4$  
Convert the equation from vertex form to standard form.

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $y=-\frac{2}{3}(x-9)^2-2$  
Convert the equation from vertex form to standard form

•  $y=-\frac{2}{3}x^2-12x-52$  

•  $y=-\frac{2}{3}x^2+12x-56$  

•  $y=-\frac{2}{3}x^2+18x-56$  

•  $y=-\frac{2}{3}x^2-18x+52$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $y=-x^2+10x-4$  Convert to vertex form.

• y=-(x-5)² + 21

• y=-(x+5)² + 21

• y=-(x+10)² + 21

• y=-(x-10)² + 21

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert to vertex form. y = -2x² + 24x + 5

• y=-2(x+12)² + 77

• y=-2(x-12)² + 77

• y=-2(x-6)² + 77

• y=-2(x+6)² + 77

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert to vertex form. f(x) = 4x² - 32x +2

• y=4(x+4)² - 62

• y=4(x-4)² - 62

• y=4(x-8)² - 62

• y=4(x+8)² - 62

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the vertex?
f(x) = -x² - 4x + 12.

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

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Does the graph of

-2(x + 5)² + 2

have a minimum or a maximum?

• Minimum

• Maximum

• It has neither.

• It has both.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the range of this quadratic?

• y ≥ 3

• y ≤ 3

• ℝ

• y ≤ 2

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7