For each parabola, determine the following (1 mark each), and sketch a rough graph (2 marks).
Does it open up or down?
Y-intercept
Vertex
Axis of Symmetry
Domain and Range
Vertically compressed or vertically expanded
y=〖-(x-1/2)〗^2+25/4
y=-3(〖x-4)〗^2+2
Describe in detail what happens to the graph of the function f(x) = a(x-p)2+q…
2. Describe in detail what happens to the graph of the function f(x) = a(x-p)2+q (2 marks each)
as “a” varies
as “p” varies
as “q” varies
Write the equation of each parabola… (3 marks each)
with vertex (3,-1) and y-intercept 2
with vertex (0,5), passing through (2,9)
The height, h, in meters above the ground, of a projectile at any time, t, in seconds, after launch is defined by the function h = -4t2 + 48t + 3. Find the maximum height reached by the projectile.State all steps taken to find the solution.
The cross section of a river, from one bank to the other, can be represented by the function d = 1/14 w2 – 5/7 w; where ‘d’ is the depth in meters and ‘w’ is meters from the river bank. How deep is the river at it’s deepest point? State all steps taken to find the solution.