Quadratic Equations Vertex Form

What is the vertex form of the following quadratic equation?

What is the vertex of the following quadratic equation?

• (1,-2)

• (1,2)

• (-1,2)

• (-1,-2)

State if the vertex of the following quadratic equation is a minimum or maximum.

• minimum

• maximum

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

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

• +

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

• f(x) = (x - 2)2 - 1

• f(x) = (x + 2)2 - 1

• f(x) = -(x + 2)2 - 1

• f(x) = -(x - 2)2 - 1

• -1/2

• +

• 4

• 3

• 2

• 1/2

• -

• 5

• 0

Which equation below best describes the graph of this parabola? (a)  

• f(x) = (x -5)2 + 1

• f(x) = (x - 1)2 - 5

• f(x) = (x + 1)2 - 5

• f(x) = (x + 5)2 +1

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

• y = 6(x + 5)² + 9

• y = -6(x - 5)² + 9

• y = 6(x - 5)² + 9

• y = -6(x + 5)² + 9

Mathematical Equivalence

OFF