Vocabulary
Parabola Anatomy
Vertex Form
Real World Applications
Desmos
Solving
Fun Facts
100
The point where a graph goes through the Y-Axis.
Y-Intercept
100
What is the y-intercept of the given parabola?
(0,2)
100
What is the vertex of the given quadratic.
f(x)=-3(x+4)2-7
(-4,-7)
100
Bella wants to see how long it takes for an egg to hit the ground from the top of the school. Let f(x) be the height of the egg, x seconds after Bella drops the egg. What does the y-intercept represent in this situation?
The height of the school, the height that Bella starts at.
100
Graph the quadratic f(x)=x2-10x+64.
What is the vertex?
(5,39)
100
For the function f(x)=3x2+7, what is f(1)?
10
100
What is the country with the highest population? (Most people)
India
200
A function that takes the form ax2+bx+c, where a cannot equal 0.
Quadratic
200
What is the vertex of the given parabola?
(-3,-7)
200
What is the "a" value of the given quadratic?
f(x)=4(x+3)2+10
4
200
Bella wants to see how long it takes for an egg to hit the ground from the top of the school. Let f(x) be the height of the egg, in feet, x seconds after Bella drops the egg. The function representing this f(x)=-2x2+10x+50.
What is the height of the building?
50 feet.
200
Graph the quadratic f(x)=-4x2-3x-20.
What is the axis of symmetry?
x=-0.375
200
For the function f(x)=-5x2-8, what is f(2)?
-28
200
What is the capital of Massachusetts?
Boston
300
The point (or points) where the parabola goes through the X-Axis.
X-Intercept, roots, zeros.
300
Is the given parabola facing up or down?
Facing up
300
What is the axis of symmetry for the given quadratic?
f(x)=(x-7)2+3
x=7
300
Bella wants to see how long it takes for an egg to hit the ground from the top of the school. Let f(x) be the height of the egg, in feet, x seconds after Bella drops the egg. The function representing this f(x)=-2x2+10x+50.
After five seconds, what is the height of the egg?
50 feet
300
Graph the quadratic f(x)=x2+7x+154.
What is the y-intercept?
(0,154)
300
For the function f(x)=-x2+7x+10, what is f(3)
22
300
Who has won the most NBA titles?
Boston Celtics
400
The graph of a quadratic function.
Parabola.
400
What are the zeros (approximately) of the given parabola?
(0,0) and (-6,0)
400
Which direction does the quadratic point?
f(x)=-3(x+2)2
Pointing down
400
Bella wants to see how long it takes for an egg to hit the ground from the top of the school. Let f(x) be the height of the egg, in feet, x seconds after Bella drops the egg. The function representing this f(x)=-2x2+10x+50.
Graph the function into desmos. What is the vertex of the function?
(2.5,62.5)
400
Graph the quadratic f(x)=-3x2+16x-44.
Which direction is the graph pointing?
Pointing down.
400
For the function f(x)=4x2-9x, what is f(5)?
55
400
Which animal is the most domesticated (had as a pet) in the US?
Dogs
500
A quadratic written as a(x-h)2+k.
Vertex Form
500
What is the axis of symmetry for the given parabola?
x=-3
500
What is the vertex of the given quadratic?
f(x)=x2
(0,0)
500
Bella wants to see how long it takes for an egg to hit the ground from the top of the school. Let f(x) be the height of the egg, in feet, x seconds after Bella drops the egg. The function representing this f(x)=-2x2+10x+50.
Graph the function into desmos.
How long does it take the egg to hit the ground.
8.09 seconds.
500
Graph the quadratic f(x)= -7x2+14x+25.
What is the equation written in vertex form?
-7(x-1)2+32
500
For the function f(x)=-6x2+17x-53, what is f(3)?
-56
500
What year did the US land on the moon?
1969