Vertex Form
In the vertex form formula, what letters represent the vertex?
(h, k)
If in standard form, describe the steps on how to find the vertex.
Use the AOS formula to get x.
Then plug in x to get y.
State answer as an ordered pair.
What letters are used to represent the x-intercepts of a graph?
p and q
What must you remember to do when solving by square roots?
Use a + and - after taking the square root.
What are the three methods of factoring we discussed in class?
Greatest Common Factor (GCF), Difference of Squares (DoS), and Trinomials (Tri)
If my formula is the following:
y = 2(x+8)2+1
What is the vertex?
(-8, 1)
What letter is used to determine if the parabola has a maximum or minimum?
a
If my formula is the following:
y = -2(x-8)(x+3)
What are the values of p and q?
8 and -3
x2 = 36
What are the values of x?
6 and -6
When using difference of squares, the pattern a2-b2 will always factor into what?
(a+b)(a-b)
If my formula is the following:
y = 5(x-3)2+7
What is the vertex?
(3, 7)
When standard form, what formula is used to find the AOS?
x = (-b)/(2a)
If my formula is the following:
y = 3(x+5)(x+9)
What are the values of p and q?
-5 and -9
5x2 = 80
What are the values of x?
4 and -4
Factor the following statement:
x2 + 2x
x(x+2)
If my formula is the following:
y = -2(x-4)2+8
What is the AOS? Be sure to state a complete answer.
x = 4
If my formula is the following:
y = x2+6x+10
What is the AOS? Be sure to state a complete answer.
x = -3
When intercept form, what formula is used to find the AOS?
x = (p+q)/2
2x2 - 32 = 0
What are the values of x?
4 and -4
Factor the following statement:
x2-100
(x+10)(x-10)
If my formula is the following:
y = -4(x+9)2-3
What is the AOS? Be sure to state a complete answer.
x = -9
If my formula is the following:
y = 9x2+18
What is the vertex?
(0, 18)
If my formula is the following:
y = 2(x-4)(x-6)
What is the vertex?
(5, -2)
(x-3)2 - 49 = 0
What are the values of x?
10 and -4
Factor the following statement:
x2 - 8x + 15
(x-5)(x-3)