Vocabulary
The u-shaped graph shown by a quadratic function
Parabola
y = 4x2 + 7 has its vertex at this point
(0,7)
a parabola will look like this if (a) is negative
open downwards (sad face)
The amount of y-intercepts in y=x2 + 1
1
Mr. McDonald throws a football off the roof of HC in the form of y=-4x2 + 32. What height is the ball at prior to being thrown?
32 (meters)
The lowest or highest point on a parabola
Vertex
The vertex of y=x2
(0,0)
what are the transformations applied to y = 3(x-3)2 + 1
vertically stretched by a factor of 3, horizontally shifted right 4 and vertically shifted up 1
How many x-intercepts can a parabola have?
up to 2
A ball falling can be modelled by the relation h = -3t2 +27 where H is height in meters and t is time in seconds. How far has the ball fallen after 2 seconds?
15 meters
The point(s) on the parabola that cross the x-axis
x-intercepts
(h,k)
what would be the y coordinate at x = 2 for y = 2(x-3)2 + 4
6
The amount of x-intercepts for -2x2 - 4
0
A cannonball is shot into the air in the form of a parabola and can be modelled by the equation h = 2x2+2. What is incorrect about this model?
A has to be negative
on an x-y plane, the y-coordinate of the lowest point on a parabola that opens upward
minimum
The coordinates of y=0.5(x-0.25)2 + 3.5
(0.25,3.5)
what would the y coordinate be if x = 0.5 where y = 3(x+2)2 + 0.75
19.5
what are the x-intercepts for the following graph?
3 and -1
If a coin flip can be modelled by the relation h = -3.2t2 + 4. When will the coin hit the ground?
1.12 seconds.
the equation of a quadratic function in vertex form
y = a(x-h)2 + k
The coordinates of y = 2(x+4) + 3
(-4,3)
What would the equation be for the following graph?
y = (x-1)2 - 4
What is the y-intercept for y=0.2(x-3.4)2 +1
3.312
A projectile is fired straight up from the ground. It reaches a max height of 72.75 m after 6 seconds. Then it falls to the ground 3 seconds later. What is a relation that models this situation?