Quadratic Functions Vertex Form

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

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

• (5, -7)

• (-2, -7)

• (2, -7)

• (-7, -2)

Which quadratic function is represented by the graph?

• y = -(x + 1)² - 4

• y = -(x + 1)² + 4

• y = -(x - 1)² - 4

• y = (x + 1)² + 4

Tags

CCSS.HSF-IF.C.7A

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

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

• +

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

What is the vertex of this function?

a

b

c

d

Zero (+)

Zero(-)

Y-intercept

Vertex

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

Label parts of this function.

a

b

c

d

Zero (+)

Y-intercept

Zero(-)

Vertex

Tags

CCSS.HSF-IF.C.7A

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