Vocab Words
What does the E in PEMDAS stand for?
Exponents
Mary is at the beach. She throws a ball up in the air with her friends. h(t)=(t-5)2+50 How long was the ball in the air for?
5 seconds
What is vertex form?
y=a(x-h)2+k
What IS factoring?
The process of finding factors within numbers and taking them out to simplify the problem.
Find the square root of 36.
+/- 6
What is the quadratic formula?
y= -b±√b²-4ac
------------------
2a
What is the maximum height Mary's ball reached in question 1 of this section?
50 feet
What is standard form?
y=ax2+bx+c
When you are factoring, what is the first thing to do?
Make sure the equation is equal to 0.
Find the square root of (x-8)2.
(x-8)
What is the x value in your vertex?
Axis of Symmetry
Franklin was playing golf with his dad. He hits the ball in the air. h(t)=(t-20)2+167 How high did the golf ball get after 10 seconds?
83.5 feet
Find the vertex and axis of symmetry
y=2(x+4)-3
Vertex: (-4, -3)
AOS:-4
What is a PRIME factorization?
When you can't factor anything out of the original problem.
EX: 19x2 + 7x + 4
Turn this answer into a square root. 42
√4
Which equals +/-2.
How do you determine whether it is a maximum or minimum value?
By looking at the a value, negative is maximum, positive is minimum
How long is Franklin's golf ball in the air based on the last question of this section?
20 seconds
What is the axis of symmetry and vertex for this problem?
y=(x+34)2+8
(-34,8)
-34
Factor this equation and solve: 2x2 + 24x = 0
2x(x+12) = 0
2x = 0
x = 12
Solve this equation: 5x2 -10 = 35
5x2 = 45
Divide by 5 on each side
x2 = 9
x = +/-3
What is the discriminant?
The value of what is in the root of a quadratic formula (b2-4ac)
Using the following info, create a formula.
Gretchen was at a baseball game. She threw her baseball 17 feet in the air. It was in the air for 9 seconds. Create a formula based off this info.
h(t)=(t-9)2+17
What is the vertex and axis of symmetry of this question? x2 - 4x + 1
Vertex: (2,-3)
AOS: 2
Factor this equation and solve: 4x2 -24x = -32
4x2 -24x + 32 = 0
4(x2 - 6x + 8)
4(x-2) (x-4)
{2,4}
Solve this equation for x: (x-14)2 - 20 = 8
(x-14)2 - 20 = 8
(x-14)2 = 28
√(x-14) = √28
x-14 = 2√7
x= 14 ±2√7