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Graphs of Quadratics
Solving by Graphing, Factoring, and ZPP
Solving by Complete the Square and Quad Formula
Discriminant, Comparing/Combining Functions
Word Problems
100

Find the vertex of: 

y = x2 + 8x + 15

(-4, -1)

100

Solve by graphing. Round to the nearest tenth if necessary.

y = 3x2 + x - 7

x = -1.7

x = 1.36

100

Solve using the Quadratic Formula

4x2 = 8x + 60

x = 5

x = -3

100

Find the discriminant and tell the number of solutions.

x2 + 3x + 20 = 0

Discriminant = -72

Number of Solutions: None

100

McDonalds sells Big Macs for $3 each. At this price, they sell an average of 103 Big Macs per day. Based on customer feedback, the store manager predicts that he would sell 15 more Big Macs per day for each $0.50 decrease in price.

Write a function P(x) to represent the price of the Big Macs.

Write a function T(x) to represent the number of Big Macs sold per day.

P(x) = 3 - 0.50x

T(x) = 103 + 15x

200

Find the axis of symmetry of: 

y = x2 + 8x + 15

x = -4

200

Solve using factoring and the zero product property.

t2 - 9t + 18 = 0

x = 3

x = 6

200

Solve by Complete the Square

x2 + 6x = 7

x = 1

x = -7

200

Identify whether the function is linear, exponential, or quadratic. Then WRITE AN EQUATION for the function.

x| -2, -1, 0, 1, 2

y|  3, 2, 3, 6, 11

Quadratic; y = x2 + 2x + 3

200

McDonalds sells Big Macs for $3 each. At this price, they sell an average of 103 Big Macs per day. Based on customer feedback, the store manager predicts that he would sell 15 more Big Macs per day for each $0.50 decrease in price.

Let P(x) = 3 - 0.50x

Let T(x) = 103 + 15x

Find R(x) representing the revenue from sales.

R(x) = -7.5x2 - 6.5x + 309

300

Find the domain and range of: 

y = x2 + 8x + 15

Domain: All real numbers

Range: y >= -1

300

Solve using factoring and the zero product property.

28g - 7g2 = 0

g = 0

g = 4

300

Solve using the Quadratic Formula 

5x2 + 15x + 16 = 0

No solution

300

Given f(x) = x2 + 8x - 9, g(x) x - 5 and h(x) = x + 4,


Find (f+g)(x)

x2 + 9x - 5

300

If a toy rocket is launched vertically upward from ground level with aninitial velocity of 10 feet per second, then its height y after t seconds is given by the equation y = -16t2 + 30t

a) How long will it take for the rocket to return to the ground?

b) How long will it take the rocket to hit its maximum height?

a) ~1.875sec

b) ~0.937 sec

400

Find the y-intercept of: 

y = 2x2 + 3x + 10

(0, 10)

400

Find the zeros by graphing.

y = x2 + 8x + 15

x = -5

x = -3

400

Solve using the Quadratic Formula 


3x2 + 6x = 10

-3 +-  sqrt(39)

____________

3

400

Identify whether the function is linear, exponential, or quadratic. Then WRITE AN EQUATION for the function.

x| -3, -2, -1, 0, 1, 2

y|  5/64, 5/16, 5/4, 5, 20, 80 

Exponential; y = 5(4)x

400

If a toy rocket is launched vertically upward from ground level with aninitial velocity of 10 feet per second, then its height y after t seconds is given by the equation y = -16t2 + 30t

c) What is the maximum height?

d) How high off the ground will the rocket be after 1 second? Does this value make sense?

c) ~14.06ft

d) 14ft; yes! It seems reasonable that a rocket could be 14ft off the ground if shot quickly upward in 1 second.

500

Find the max/min value of of: 

y = x2 + 8x + 15

y = -1

500

Solve using factoring and the zero product property.

30h - 45h2 = 0

h = 0

h = 2/3

500

Solve using Complete the Square

3x2 - 24x + 30 = 0

x = 4  +-  sqrt(6)

500
Given f(x) = x2 + 8x - 9, g(x) x - 5 and h(x) = x + 4,


Find (f*g)(x)

x3 + 3x2 - 49x + 45

500

Write an equation in vertex form given the vertex and a point. Then convert to standard form.

V(4, -5)   P(2, 7)

Vertex Form: y = 3(x-4)2 - 5

Standard Form: 3x2 - 24x + 43