Grade 10 Math: Quadratic Equations, Graphs, and More Maximum and Minimum of Quadratic Functions

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Questions
Notes

Determine the maximum or minimum value for the following equation $$-y=4(x+1)^2+6$$

Maximum: 6

Minimum: 6

Maximum: 2

Maximum: 1

Determine the maximum or minimum value for the following equation $$y=-2x(x-4)$$

Minimum: 8

Minimum: -8

Maximum: 8

Maximum: -8

Determine the maximum or minimum value for the following equation $$y=(x-5)^2$$

Minimum: 5

Minimum: 0

Maximum: -5

Maximum: 0

Determine the maximum or minimum value for the following equation $$y=2x^2-7$$

Minimum: -7

Maximum: -2

Maximum: 2

Determine the maximum or minimum value for the following equation $$y=x^2-4x-1$$

Maximum: 4

Maximum: -5

Minimum: 5

Minimum: -5

Determine the maximum or minimum value for the following equation $$y=-3x^2-12+15$$

Maximum: -27

Maximum: 27

Minimum: 27

Minimum: -27

The height of a arrow shoot vertically upward from a penthouse is shown by $h(t)=-5t^2+20t+50$ where $h(t)$ is the arrow's height above the ground in yards, at time $(t)$ seconds after the shot. i) Determine the maximum height of the arrow.

45 yards

60 yards

100 yards

70 yards

ii) How long does it take for the arrow to reach its maximum height?

1 seconds

2 seconds

3 seconds

4 seconds

iii) How high is the penthouse?

50 yards

75 yards