What is the a
Negative
Determine the rule of the quadratic function that passes trough point (1,4)
y= 4x2
In the quadratic function, y=3x2, let x be 4. Find y.
y=48
In the quadratic function, y=0.4x2, let y be 4. Find x.
x=3.16
x=-3.16
The graph of a basic quadratic function is called?
Parabola
If the graph is upward, what sign is the a
Possitive
Picture 5
y=6x2
While studying in the library, Katie's pen rolls off her book and down a tilted table. The path of the pen can be represented by a quadratic function with vertex (0,0), where x represents the time in seconds and y represents the distance in centimeters. If the pen has rolled 2 centimeters after 1 second, how far has it rolled after five seconds?
y=50 centimeters
The path of a soccer ball as it rolls down a hill can be represented by a quadratic equation with vertex (0,0), where x represents the time in seconds and y represents the distance in metres. If the ball has rolled 3 metres after 1 second, how much time has passed for the ball to roll 27 meters.
x=3 seconds
The highest or lowest point in a parabola is called?
Vertex
Picture 2
0<a<1
Picture 6
y=-8x2
A parabola with a vertex of (0, 0) passes through the point (2, –6). What is f(4)?
x=-24
At dinner one night, Lindon takes a pea from his plate and flicks it across the table. The path of the pea can be represented by a quadratic function with vertex (0,0), where x represents the time in seconds and y represents the distance in inches. If the pea has flown 4 inches after 1 second, in how much time will it have flown 12 inches.
x=1,73 seconds
The a value in a quadratic equation is responsible for what?
The opening and the direction
Picture 3
a<-10
Picture 7
y=-3x2
Picture 9
y=45
Picture 11
y=2.26seconds
Give me one real world application of the quadratic function
Bridges, Trowing a ball, etc...
Picture 4
-1<a<0
Picture 8
y=1.25x2
Picture 10
y=-54
Picture 12
x= 1.94
x=-1.94
All of our parabolas will always pass trough this point?
(0,0)