Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1
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.


  1. y = x2 - 4x + 1

  2. y = -2x2 — 8x — 3

  3. y = 3x2 + 6x + 2

  4. fix) = —x2 + 2x - 5


© MATHEMATICAL
Do y o u UN DERSTAN D? PRACTICES


  1. Reasoning How does each of the numbers a,
    b, and c affect the graph of a quadratic function
    y = ax2 + bx + c?

  2. 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.


  1. y = 2x2 + 3 8. y = -3x2 + 12 jc + 1

  2. y = x2 - 8x - 7 11. f{x) = 3x2 - 9x + 2

  3. f{x) = —5x2 + 3x + 2 14. y = -4 x 2 - 16x - 3


Match each function with its graph.


  1. y=-x2-6x 17. y=-x2 + 6 18. y = x2 - 6
    9. fix) = 2x2 + 4x — 1

  2. y = -4 x 2 + 11

  3. fix) = 6x2 + 6x — 5

  4. y = x2 + 6x


Se e Pr o b l em 1.

556 Chapter 9 Quadratic Functions and Equations
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