Review for Quadratics Test

Question 1

What is the standard form of a quadratic equation? How do you know if it opens up or down?

Answer 1

a=+ up, a=- down
Y=ax^2+bx+c

Question 2

What is the vertex form of a quadratic equation? How do you know if it opens up or down?

Answer 2

a=+ up, a=- down
Y=a(x-h)^2+k

Question 3

Complete the Square

Answer 3

(x+/-#)^2+/-#

Question 4

Word Problem

Answer 4

h(t)=-16t^2+60t+45

Question 5

a. At what time after the start is the ball 45 feet high again?

Answer 5

Solve for t
t=60/16 = 3.75

Question 6

b. How long does it take to reach its maximum height?

Answer 6

-b/2a

Question 7

c. Find the time when the ball hits the ground.

Answer 7

Quadratic Formula
X= -b square root b^2-4ac/ 2a

Question 8

Graph
Y=3(x-1)^2+4

Answer 8

X=1
Y=4
Minimum because a=+
Y=7
No x intercepts

Question 9

Y=-2x^2

Answer 9

X=0
Y=0
Maximum because a=-
No x intercepts

Question 10

Y=x^2+4x

Answer 10

X=-2
Y=-4
Minimum because a=+
Y=0

Question 11

Find the Product
-2(3n+4)^2

Answer 11

-18n^2-48n-32

Question 12

Factor Completely
16x^2-9

Answer 12

(4x+3)(4x-3)

Question 13

Solve the Equation by factoring
X^2+3x-28=0

Answer 13

(x-4)(x+7) =
(4,-7)

Question 14

Find the Discriminant of Each Quadratic Equation Then State the Number and Types of Solutions

Answer 14

Discriminant= b^2-4ac

Question 15

Solve With Quadratic Formula

Answer 15

Quad. Formula= X=-b square root b^2-4ac/2a

Question 16

Solve by Completing the Square

Answer 16

1. Divide the b term in half and square it
2. Square root both sides

Question 17

Solve by Taking Square Roots

Answer 17

1. Make it so a=c
2. Square Root it if a=1
3. Simplify, no Square Roots in the Denominator