Quadratic from Standard to Vertex

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

Write the given equation in vertex form:

y=x²+16x+100

• y=(x+8)²+36

• y=(x+8)²-36

• y=(x-8)²+164

• y=(x+8)²

What do we call the highest or lowest point of a quadratic?

• parabola

• vertex

• graph

• point

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

A graph of a quadratic function is shown. What is the vertex of the function?

What is the vertex of this function?

a

b

c

d

Y-intercept

Zero (+)

Zero(-)

Vertex

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

Which of the following is the correct equation for the given graph? (a)  

• f(x) = -(x + 2)2 - 4

• f(x) = -(x - 2)2 - 4

• f(x) = -3(x - 2)2 - 4

• f(x) = -3(x + 2)2 - 4

Tags

CCSS.HSF-IF.C.7A

The table of a quadratic function is shown.

Create the ordered pair that represents the vertex of the quadratic.

( ​ (a)   , ​ (b)   )

• -2

• -6

• -3

• -5

• -4

• -1

• 0

• 1

• 3

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

• +