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Solving Quadratics
Complete the square
Standard form-->
Vertex form
Solving by Completing the Square
Quadratic Trivia
100

Solve the equation. (x-2)²=16

x=6 and x=-2

100

Complete the square for each expression. Write the resulting express as a binomial squared. x²+14x+?

x²+14x+49=(x+7)²

100

Convert to vertex form by completing the square:

y = x2 + 16x + 71

y = (x + 8)2 + 7

100

Solve by completing the square:

a2 + 14a − 51 = 0

x=3 and x=-17

100

Identify the vertex:

y=(x-3)2 + 4

Vertex: (3,4)

200

Solve the equation. (x-3)²=13

x=-0.60555 x=6.056

200

Complete the square for each expression. Write the resulting express as a binomial squared. x²-12x+?

x²-12x+36=(x-6)²

200

Convert to vertex form by completing the square:

y = x2 − 2x − 5

y = (x − 1)2 − 6

200

Solve by completing the square:

x2 − 12x + 11 = 0

x=11 and x=1

200

What is the name of the shape of a quadratic function

Parabola

300

Solve the equation. x²-10x+25=16

x=1 and x=9

300

Complete the square for each expression. Write the resulting express as a binomial squared. x²+26x+?

x2+26x+169 = (x+13)²

300

Convert to vertex form by completing the square:

y = x2 + 4x

y = (x + 2)2 − 4

300

Solve by completing the square:

n2 − 2n = 3

x=3 and x=-1

300

Explain how to find....

x-intercepts

y-intercepts

vertex & Line of symmetry

Given the equation: y=(x+3)2 -4

x-int: pug in 0 for y, solve for x by adding 4 to both sides take the square root of both sides. Then set up two equations to solve for x.

y-int plug in 0 for x and solve for y.

vertex: look at equation and identify (-3,-4)

Line of symmetry look at x value of vertex and state: x=-3

400

Solve the equation. x²-2x+1=3

x=-0.73205 x=2.7321

400

Complete the square for each expression. Write the resulting express as a binomial squared.

 x²-9x+?

x²-9x+81/4=(x-4.5)²

400

Convert to vertex form by completing the square:

y = x2 + 10x + 33

y = (x + 5)2 + 8

400

Solve by completing the square:

k2 − 12k = -23

k=2.3944 and k=9.6056

400

When is Mr. A's Birthday

April 7th

500

Solve the equation. 15x²-3x=3-7x

x = 1/3      x = -3/5

500

Complete the Square for the expression. 

                     y=4x2+3x-10


y=(2x-1.5)2 - 12.25

500

Convert to vertex form:

y = (x + 5)(x + 4)

y = (x + 9/2)2 − 1/4

500

Solve by completing the square:

b2 + 2b = −20

No Solution (Parabola is above x axis)

500

When is Mr. Kastens Birthday?

March 11th