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Vocabulary
Solving Quadratics
Completing the Square
Quadratic Formula
Translation and Transformation
100
What is the Discriminant?

b²- 4ac, the equation under the radical in the quadratic formula

100

Solve the quadratic x2 - 25 = 0

x = -5, x = 5
100

Complete the square to find the vertex. Where is the vertex located? x2 + 16x = -59

(-8,-5)
100

Find the Discriminant and determine how many solutions the function has. x2 + 2x - 3

16, there are two real solutions
100

Describe the transformation from the parent function y = x2 that will get you to the function y = (x - 4)2 + 3

Move 4 units to the right and 3 units up
200
What is the parent quadratic function?

y = x2

200

Solve the quadratic x2 + 10x + 25 = 0

x = -5
200

Find the solutions of the function by completing the square. x2 + 14x = 15

x = -15, x = 1
200

Find the Discriminant and determine how many solutions the function has. 2x2 + 5x + 5 = 0

-15, there are no real solutions
200

Describe the transformation from the parent function y = x2 that will get you to the function y = (x + 5)2 - 3

Move 5 units left and 3 units down
300
What is the highest or lowest point on a parabola called?
Max or Min
300

Solve the quadratic x2 + 5x = 24

x = -8, x = 3
300

Complete the square to find the value at the vertex of the function. x2 - 6x = 40

y = -49
300

Solve the function by using the quadratic formula. y = 5x2 + x - 4

x = -1, x = 4/5
300

Give the function that is the translation of y = x2 moved 5 units to the right.

y = (x - 5)2

400
What is an axis of symmetry?
The line of symmetry that divides a parabola into equal halves that are reflections of each other
400

Solve the quadratic function 2x2 + 18x + 28 = 0

x = -2, x = -7
400

Find the solutions of the function by completing the square. r2 - 4r - 165 = 0

r = -11, r = 15
400

Solve the function by using the quadratic formula. 3r2 + 8r -91

x = -7, x = 13/3
400

Give the function that is the translation of y = x2 moved 2 units to the right and 6 units up.

y = (x - 2)2 + 6

500
What is the vertex form of a quadratic function?

y = a(x - h)2+ k

500

Solve the quadratic equation 9x2 - 81 = 0 

x = -3, x = 3
500

Convert the function to vertex form. y = x2 + 4x - 3

(x + 2)2 - 7

500

Solve the function by using the quadratic formula. 6x2 - 11x + 6

no real solutions
500

Give the function that is the transformation of y = x2 reflected about the x-axis, vertically stretched by a factor of 7, moved 5 units to the left, and 3 units up.

y = -7(x + 5)2 + 3