Show:
Solve
Find The y-Intercept
Find The Vertex
Convert To Vertex Form
Number Of Solutions
100

4x2 + 7 = 43

x = +- 3

100

y = 2a2 + 12a - 5

(0,-5)

100

y = 3(x -4)2 -7

(4,-7)

100

y = 3x2 + 12x - 8

y = 3(x + 2)2 - 20

100

n2 + 3n + 5 = 0

discriminant = -11

number of real solutions = no real solution

200

m2 - 8m - 20 = 0

m = -2

m = 10

200

y = 2x2 + 3x - 9

(0,-9)

200

Y = -2(x + 1)2 + 5

(-1,5)

200

y = -2x2 + 8x - 7

y = -2(x - 2)2 + 1

200

2x2 - 4x - 3 = 0

discriminant = 40

number of real solutions = 2

300

6p2 + 20p = 0

p = 0

p =-10/3

300

y = x2 + 6x + 8

(0,8)

300

Y = -2(x+4)2 -6

(-4,-6)

300

y = 6x2 - 12x + 9

y = 6(x - 1)2 + 3

300

5x2 + 3x + 6 = 0

discriminant = -151

number of real solutions = no real solution

400

(y - 5)2 + 6 = 13

y = 5+- sq root 7

400

y = -2(x + 1)2 + 5

(0,3)

400

Y = x2 + 6x + 8

(-3,-1)

400

y = 3x2 + 6x - 8

y = 3(x + 1)² - 11

400

3x2 - 5x - 1 = 0

discriminant = 37

number of real solutions = 2

500

4x2 - 24x = -32

x = 2

x = 4

500

y = -2(x + 4)2 - 6

(0,-38)

500

Y = 2a2 + 12a - 5

(-3,-23)

500

y = 5x2 + 2x +9

y = 5(x + 0.2)2 + 8.8

500

4x2 + 4x + 1 = 0

 discriminant = 0

number of real solutions = 1