Chapter 2 Review WS
ANSWERS
1. ℎ(𝑥) = −𝑥 2 + 6
1
ℎ(𝑥) =
(𝑥 − 5)2
16
1
ℎ(𝑥) = (𝑥 + 5)2
6
ℎ(𝑥) = 9 (𝑥 − 2)2 + 19
ℎ(𝑥) = (2𝑥 − 13)2
ℎ(𝑥) = −4 (𝑥 − 6)2 − 19
2. a. horizontal stretch by factor of 3
b. reflected over the x-axis, translated 3 units left and 2 units up
3. Q is a vertical stretch by a factor of 4 followed by a reflection over the x-axis and then translated 1 unit
right and 3 units up
4. a. 𝑦 = −5 (𝑥 + 2)2 + 9
1
b. ℎ(𝑥) = 24 (𝑥 − 12)(𝑥 − 32)
5.
y = -2x2 – 8x + 1
Vertex: (-2, 9)
Axis of symmetry: x= -2
Increasing: x < -2
Decreasing: x > -2
6.
y = 2(x
Vertex:
Axis of
Domain:
Range:
– 2)2 + 5
(2, 5)
symmetry: x = 2
𝑥∈ℝ
y ≥5
7.
y = -3(x-4)(x+2)
x-intercept(s): (4, 0) (-2, 0)
Vertex: (1, 27)
Axis of symmetry: x = 1
8. (50, 35) ; 50 ft from the cannon, the performer is at a maximum height of 35 ft.
9. a. parabola
b. y = 0.1x2 – 0.5x – 5
c. 32.4 tons
−103
10. a. 𝑦 = 18 (𝑥 − 3)2 + 56.5
b. 𝑦 = −5(𝑥 − 3)2 + 51.5
c. No. The first ball hits the ground first – it has a smaller x-intercept.