Parts of a Parabola
Factored to Standard
Standard to Factored
Intercepts
100
What is the y-intercept? 
(0,3)
100
(x + 3)(x + 5)
x^2 + 8x + 15
100
x^2 + 2x -3
(x - 1)(x + 3)
100
What is the y-intercept?
x^2 + 7x - 15
(0,15)
200
What are the x-intercepts?
(-2,0) and (1,0)
200
(x + 5)(x - 12)
x^2 - 7x - 60
200
x^2 + 10x + 25
(x + 5)(x + 5)
200
What is the x-intercept?
(x - 3)(x + 6)
(3,0) and (-6,0)
300
Is this vertex a maximum or minimum?
maximum
300
(x + 4)(x)
x^2 + 4x
300
x^2 - 16
(x - 4)(x + 4)
300
What is the y-intercept?
x^2 + 3x
(0,0)
400
Can you sketch a parabola where the x-intercepts, y-intercept and vertex are all the same???
400
(2x)(x + 5)
2x^2 + 10x
400
x^2 + 8x
(x)(x + 8)
400
What are the x-intercepts?
(x)(x - 4)
(0,0) and (4,0)