Factoring
Factor the following: x2 - 121
(x + 11)(x - 11)
The y - intercept of the graph of a quadratic in Standard form is which variable?
What is C?
What is the quadratic formula?:
x=(-b±√(b^2-4ac))/2a
Find the vertex of
y = 4(x-5)2 + 7
(5,7)
The Wright brothers tried for months to perfect the art of flying. During their attempts they would send their plane off of a small cliff to help get air time. To model one of their attempts, we can use the formula below. What was the initial height of the cliff?
h=-4t^2 +7t+30
30 feet
Factor the following:
x2+3x+2
(x + 2)(x + 1)
What 2 parts of vertex form make up the vertex, and in what order?
(h,k)
When using the Quadratic formula, your equation in standard form needs to be equal to what?
What is make sure the equation is in standard form, which means it should equal 0
Find the y-intercept of
y=-x2+8x-15
(0,-15)
The Wright brothers tried for months to perfect the art of flying. During their attempts they would send their plane off of a small cliff to help get air time. To model one of their attempts, we can use the formula below. How long did it take for the plane to reach it's maximum height?
h=-4t^2 +7t+30
7/8 or 0.875 seconds
Factor the following:
x2 - 6x + 5
(x - 5) (x - 1)
If you are factoring...
1) What feature are you solving for?
2) What do you do with your factors to actually solve?
1) The X-Intercepts
2) Set the factors equal to ZERO
What type of answer will you get if you square root a negative number using the quadratic formula? How do you represent this type of answer?
What is imaginary, and with an "i".
Find the vertex of
y=-x2+8x-15
(4,31)
The Wright brothers tried for months to perfect the art of flying. During their attempts they would send their plane off of a small cliff to help get air time. To model one of their attempts, we can use the formula below. What was the maximum height of the plane?
h=-4t^2 +7t+30
33.0625 feet
Factor the following:
2x2 - 8x - 90
2(x-9)(x+5)
Which variable in the Vertex Form and Standard Form of a quadratic can tell you if the vertex will be a minimum or a maximum point?
What is a?
Solve using the quadratic formula:
4x2 + 5x - 9 = 0
What is x = 1 or x = -9/4
How many real solutions does this equation have?
y = -(x + 4)2 - 2
Zero real solutions
The Wright brothers tried for months to perfect the art of flying. During their attempts they would send their plane off of a small cliff to help get air time. To model one of their attempts, we can use the formula below. How long was the plane in the air before landing on the ground?
h=-4t^2 +7t+30
3.75 seconds
Factor the following:
3x2 - 11x + 10
(3x-5)(x-2)
Re-write the following equation in Standard form:
y = 2(x + 7)2 - 36
y = 2x2 + 28x + 62
Solve using the quadratic formula:
2x2+4x-9=0
What is x = 1.35 and x = -3.35
Find the x-intercepts of
y = -4x2 + 4x + 3
(-0.5,0) and (1.5,0)
The Wright brothers tried for months to perfect the art of flying. During their attempts they would send their plane off of a small cliff to help get air time. To model one of their attempts, we can use the formula below. How high was the plane 2 seconds into it's flight?
h=-4t^2 +7t+30
28 feet