Vocabulary
Characteristics of Quadratic Functions (graphically)
Characteristics of Quadratic Functions (algebraically)
Solving Quadratic Functions (algebraically - Level 1)
Solving Quadratic Functions (algebraically - Level 2)
100

This is a graphical attribute that represents the solution(s) to a function.

What is root(s)?

What are x-intercept(s)?

What are zero(s)?

100

Use the Desmos Graphing Tool:

The axis of symmetry of y = (x + 3)2 - 4

What is x = -3?

100

Without the use of the Desmos Graphing Tool:

The y-intercept of the function y = 2x2 + 5x - 10.

What is (0, -10)?

100

Use any method other than graphing:

The solutions to y = (x - 3)(x + 2).

What is {-2, 3}?

100

Use any method other than graphing:

The solutions to y = (x - 5)2 - 9.

What is {2, 8}?

200

The vertex of a parabola opening upward. 

What is the minimum?

200

Use the Desmos Graphing Tool:

The y-intercept of y = (x - 2)2 - 6


What is (0, -2)?

200

Without the use of the Desmos Graphing Tool:

The y-intercept of the function y = -2(x - 2)2 - 1

What is (0, -9)? 

200

Use any method other than graphing:

The solutions to y = (2x + 1)(x - 5)

What is {-1/2, 5}?

200

Use any method other than graphing:

The solutions to y = x2 + 8x + 16.

What is {-4}?

300

Every quadratic equation has a U-shaped graph called this.

What is a parabola?

300

Use the Desmos Graphing Tool:

The vertex of y = 2(x - 1)(x + 4).

What is (-1.5, -12.5)?

300

Without the use of the Desmos Graphing Tool:

The axis of symmetry of the function y = 4(x + 5)2 - 3

What is x = -5?

300

Use any method other than graphing:

The solutions to y = x2 - 5x - 6

What is {-1, 6} ?

300

Use any method other than graphing:

The solutions to 4x2 = 36

What is {-3, 3}?

400

When a quadratic equation is written in this form 

y = ax2 +bx + c

What is standard form?

400

Use the Desmos Graphing Tool:

The root(s) of the function y = -1/3(x + 2)2 + 3.

What are -5 and 1?

400

Without the use of the Desmos Graphing Tool:

The vertex of the function y = -1/2x2 + x - 8.

What is (1, -7.5)?

400

Use any method other than graphing:

The solutions to y = 2x2 - x - 3.

What is {-1, 1.5}?

400

Use any method other than graphing:

The solutions to x2 = 4 - 8x

What is 

-4 + 2(square root)5

-4 - 2(square root)5

?

500

The line that runs through the vertex and divides the parabola in half.

What is the axis of symmetry?

500

Use the Desmos Graphing Tool:

The vertex of the function y = x2 - 4.

What is (0, -4)?

500

Without the use of the Desmos Graphing Tool:

The range of the function y = -x2 + 2x - 5.

What is y < -4?

500

Use any method other than graphing:

The solutions to y = (x - 1)2 - 4. 

What is {-1, 3}?

500

Use any method other than graphing:

The solutions to 8x2 + 4x - 16 = -x2

What is 

(-2 - 2(square root)37)/9

(-2 + 2(square root)37)/9

?

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