Pre-Calculus WS 2.1 Quadratic Functions
Name:
Sketch the graph of the following functions (no calculators)
1. f ( x)  ( x  2) 2
5. f ( x)  25  x 2
2. f ( x)  3  x 2
6. f ( x)  ( x  4) 2  3
3. f ( x)  x 2  3
7. f ( x)  x 2  8x  16
4. f ( x)  ( x  4) 2
Identify the vertex and the x-intercept(s).
8. f ( x)  x 2  2 x  3
9. f ( x)  x 2  8x  15
10. f ( x)  x 2  10 x  24
Write the vertex form of the quadratic functions whose graph passes
through the given point:
11. Vertex (-2, 5) and point (0, 9)
12. Vertex (1, -2) and point (-1, 14)
13. The height y (in feet) of a punted football is approximately
16 2 9
3
x  x
2025
5
2
where x is the horizontal distance (in feet) from where the football is
punted.
Y= 
a. How high is the football when it is punted? (when x = 0)
b. What is the maximum height of the football (hint: at the
vertex)?
14. The total revenue R (in dollars) earned by a dog walking service is
given by:
R = f ( x)  12 p 2  150 p
where p is the price charge per dog (in dollars).
a. Find the revenue when the price per dog is $4, $6 and $8
b. What price yields the maximum revenue?
c. What is the maximum revenue?