Quadratic Forms Skill Check Review

100Identify Equation Type

100

(x-3)(x+2)

Factored Form

200

Factored Form provides the ________________

x-intercepts

300

Provide the x-intercepts of the following equation: 

(x-8)(x+2)

(8,0) and (-2,0)

400

Convert this equation into standard form: 

(x+6)(x-2)

x^2+4x-12

500

Find the vertex of this equation: 

(x+2)(x-4)

(1,-9)

200What Information?

100

(x-5)^2+4

Vertex Form

200

Standard Form provides the _______________

y-intercept

300

Provide the y-intercept of the following equation: 

x^2+7x+12

(0,12)

400

Convert this equation into standard form: 

(x-9)(x-2)

x^2-11x+18

500

Find the vertex of the equation: 

(x+8)(x+2)

(-5,-9)

300Identify Key Points

100

x^2+3x+9

Standard Form

200

Vertex form provides the _______________

vertex

300

Provide the vertex of the following equation: 

(x-5)^2-1

(5,-1)

400

Convert this equation into standard form: 

(x-8)(x+3)

x^2-5x-24

500

Convert this equation into vertex form: 

(x-3)(x-5)

(x-4)^2-1

400Factored to Standard

100

x(x-4)

Factored Form

200

How does a negative sign affect the graph?

It makes the graph face downward

300

Provide the y-intercept of the following equation: 

x^2+3x

(0,0)

400

Convert this equation into standard form: 

(x+5)(x+2)

x^2+7x+10

500

Convert this equation into vertex form: 

(x-4)(x+8)

(x+2)^2-36

500Factored to Vertex

100

x^2+3x

Standard Form

200

How do you find the vertex from the x-intercepts?

You find the middle of the two numbers (x) and plug it into the equation (y)

300

Provide the vertex of the following equation: 

(x+3)^2+9

(-3,9)

400

Convert this equation into standard form: 

(x-4)(x+5)

x^2+x-20

500

Convert this equation into vertex form: 

(x-9)(x-3)

(x-6)^2-9