From Factored To Standard Form - Math Education Page Page 2
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1
2Name:_______________
Using Factored and Standard Form
For the quadratic equations listed below, find:
a. the y-intercept
b. the roots (by factoring)
c. the sum and product of the roots (with your formulas)
d. the x-coordinate of the vertex (how is it related to the sum of the roots?)
e. the y-coordinate of the vertex
f. use a-e to graph the parabola accurately, on graph paper
g. check your answers, using your graphing calculator
2
1. y = x
– x – 6
2
2. y = 5x
– 35x + 60
2
3. y = -3x
– 18x – 24
2
4. y = 2x
–4x – 6
2
5. y = -x
+ 2x
2
6. y = 4x
– 1
Discussion
7. Do all parabolas have a y-intercept?
8. Do all parabolas have x-intercepts?
9. Do all parabolas have a vertex?
10. Does the formula for the x-coordinate of the vertex work when there are no x-
intercepts?
Henri Picciotto – Urban School of San Francisco
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