Standard Vertex and Factored Form of Quadratic

What is the vertex of this parabola?

• (−1, 3)

• (−3, 11)

• (−2, 5)

• (0, 5)

What is the name of this form of a quadratic equation:

• vertex form

• standard form

• factored form

• zero form

What is the maximum/minimum of a parabola called?

• vertex

• point

• top

• bottom

Find the vertex of

f(x) = -(x+6)(x-2)

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

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

• +

Mathematical Equivalence

OFF

To find the vertex of a quadratic in standard form, you ​ (a)   and ​ (b)   . Then you ​ (c)   the value back into the ​ (d)   to find the ​ (e)   coordinate of the vertex.

• take the opposite of b

• divide it by 2

• substitute

• equation

• y

• x

• take the opposite of c

• multiply it by 5

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

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

• +

Mathematical Equivalence

OFF