Standard to Vertex Form

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

• y=(x+2)²+1

• y= (x-1)²-4

• y=(x-1)²+4

• y=(x-2)²+1

Convert the equation y= x²-8x+11 into vertex form.

• y= (x+4)²+5

• y= (x+4)²-5

• y=(x-4)²-5

• y= (x-8)²-53

Convert the equation y= x²+12x-2 into vertex form.

• y= (x+6)²-38

• y= (x-6)²+2

• y= (x+12)²+108

• y= (x+12)²-2

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

The graph of a quadratic function is shown. The vertex and two points are labeled. Drag and drop the numbers and operations to write the equation for the parabola in vertex form. y = ​ (a)   (x​​ (b)   (c)   )² - (d)  

• -

• 1

• 6

• 12

• 4

• 8

• +

Identify the vertex and whether the graph opens up or down. (a)  

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

Tags

CCSS.HSF-IF.C.7A

The graph of a quadratic function is shown. The vertex and two points are labeled. Drag and drop the numbers and operations to write the equation for the parabola in vertex form. y = ​ (a)   (x​​ (b)   (c)   )² - (d)  

• -

• 1

• 6

• 12

• 4

• 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

Which function is equivalent to
y = x² - 6x + 10?

• y = (x + 3)² - 1

• y = (x - 3)² + 1

• y = (x + 6)² - 10

• y = (x - 6)² + 10

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