Got It? 2. In Problem 2, suppose a T-shirt is launched with an initial upward velocity
of 64 ft/s and is caught 35 ft above the court. How long will it take the T-shirt
to reach its maximum height? How far above court level will it be? What is
the range of the function that models the height of the T-shirt over time?
J Lesso n Ch eck
Do yo u k n o w H OW?
Graph each function.
- y = x2 - 4x + 1
- y = -2x2 — 8x — 3
- y = 3x2 + 6x + 2
- fix) = —x2 + 2x - 5
© MATHEMATICAL
Do y o u UN DERSTAN D? PRACTICES
- Reasoning How does each of the numbers a,
b, and c affect the graph of a quadratic function
y = ax2 + bx + c? - W r it in g Explain how you can use the y-intercept,
vertex, and axis of symmetry to graph a quadratic
function. Assume the vertex is not on the y-axis.
Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses
Pr act i ce
MATHEMATICAL
PRACTICES
Find the equation of the axis of symmetry and the coordinates of the vertex of
the graph of each function.
- y = 2x2 + 3 8. y = -3x2 + 12 jc + 1
- y = x2 - 8x - 7 11. f{x) = 3x2 - 9x + 2
- f{x) = —5x2 + 3x + 2 14. y = -4 x 2 - 16x - 3
Match each function with its graph.
- y=-x2-6x 17. y=-x2 + 6 18. y = x2 - 6
9. fix) = 2x2 + 4x — 1 - y = -4 x 2 + 11
- fix) = 6x2 + 6x — 5
- y = x2 + 6x
Se e Pr o b l em 1.
556 Chapter 9 Quadratic Functions and Equations