Characteristics of Quadratics Vertex Form

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

• +

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

• +

is the Vertex Form of a Quadratic Equation. Correctly label each variable listed below.

• opens up/down

• vertical stretch/compress

• horizontal shift

• vertical shift

• horizontal stretch/compress

• vertical flip

• horizontal flip

• vertical stretch

• horizontal compression

• reflection across y-axis

• opens up/down

• vertical stretch/compress

• horizontal shift

• vertical shift

• horizontal stretch/compress

• vertical flip

• horizontal flip

• vertical stretch

• horizontal compression

• reflection across y-axis

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