Math 20-2 Assignment #4

A ball is thrown into the air from a bridge that is 15 m above a river. The function that models the height, h(t), in meters, of the ball over time, t, in seconds is h(t) = –4.9t² + 9t + 15. When does the ball hit the water, to the nearest hundredth?

Type the number only!

Answer explanation

For the quadratic, choose the direction of opening and the y-intercept.

• opens up

• opens down

• y-int = 3

• y-int = 2

• y-int = -5

For the quadratic, choose the direction of opening and the y-intercept.

• opens up

• opens down

• y-int = 0

• y-int = -7

• y-int = 1

For the quadratic, choose the direction of opening and the y-intercept.

• opens up

• opens down

• y-int = -1

• y-int = 12

• y-int = 0

A fire hose sprays water in an arch that can be defined by the function h(x) = -0.25x² + 5x where x is the horizontal distance from the hose (ft) and h(x) is the height of the water (ft). What is the maximum height of the water?

(enter the number only)

A fire hose sprays water in an arch that can be defined by the function h(x) = -0.25x² + 5x where x is the horizontal distance from the hose (ft) and h(x) is the height of the water (ft). How far does the water reach?

(enter the number only)

Which set of data is correct for this graph?

• A

• B

• C

• D

Answer explanation

Which relation is the factored form of f(x) = –3x² – 3x + 6?

• $-3\left(x+2\right)\left(x-1\right)$

• $-3\left(x+2\right)\left(x+1\right)$

• $-3(x+3)^2$

• $(3x-3)^2$

Answer explanation

Determine the length of CD, to the nearest tenth of a cm. (enter the number only)

Answer explanation

What is the vertex of the quadratic function:
y = x² - 6x + 11?

• (3,2)
• (-3,-2)
• (-3,2)
• (3,-2)