Lesson 17 - 5.5 Quadratic

Pg. 219: 3,6,25,27

Lesson 17 - 5.5 # 3 Find a possible formula from the graph of a parabola (quadratic function).Ans:

Given: Vertex (4, 7) and y-int (0, 4)

Strategy: Write in vertex form and used y-int to find the constant a.

So

Then to find a:

So

Lesson 17 - 5.5 # 3 Find a possible formula from the graph of a parabola (quadratic function). Ans:

Given: roots: x = -1 and x = 3 and y-int

(0, -1)

Strategy: Write in zero form and used y-int to find the constant a.

So

Then to find a:

So

Lesson 17 - 5.5 # 25 Tomato thrown into the air problem: Its height, d(t) in feet ins given as a function of time , t in seconds where:.

(a) Graph of d(t)

(b) d(t) = 0 when t = 0 and t = 3 seconds; When t = 0, the ball is just about the be thrown and when t = 3, the ball has hit the ground.

(c) The ball reach maximum height is of 36 feet, when t = 1.5 seconds.

(d) The maximum height is at 36 feet.

Lesson 17 - 5.5 # 27 Maximum area of a rectangle problem: Given perimeter of rectangle is 50 cm.

Sides of rectangle are: 2L + 2W = 50 cm or if L = x:, then .

W = 25-x)

So

Vertex form:

This is a quadratic function with a maximum Area of 156.25 cm2 when x = 12.5 cm.