y = -2x2 â 8x + 1 Vertex: (-2, 9) Axis of symmetry: x= -2 Increasing: x ...
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.
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.
