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1)
Vertex Form Assignment MCF3M
Using your knowledge of transformations, graph the following quadratic functions. Also state the range of
each function after you’ve graphed it. Place two on each grid and make sure to label them.  each
a) 𝑓(𝑥) = (𝑥 − 5)2 − 6
b) 𝑓(𝑥) = 2(𝑥 + 2)2 − 8
Vertex:
Vertex:
Step Pattern:
Step Pattern
Range:
Range:
c) 𝑓(𝑥) = −0.5(𝑥 + 4)2
d) 𝑓(𝑥) = 1.5𝑥 2 − 3
Vertex:
Vertex:
Step Pattern:
Step Pattern:
Range:
Range:
2) Determine the equation of the parabola in vertex form, 𝑦 = 𝑎(𝑥 − ℎ)2 + 𝑘 for each of the following
scenarios:
a) If the vertex of a parabola is (-12, 18), and it
has a step pattern of -2, -6, -10. 
b) If the vertex of a parabola is (4, -9), and the
step pattern is 0.25, 0.75, 1.25. 
𝑓(𝑥) = ________________________
𝑓(𝑥) = ________________________
Vertex Form Assignment MCF3M
y
c) The Left Parabola: 
4
3
2
𝑓(𝑥) = ________________________
1
-4
-3
-2
-1
x
1
2
3
4
-1
d) The Right Parabola: 
-2
-3
-4
𝑓(𝑥) = ________________________
e) If the vertex is (2, 5) and it goes through the point (5, -4). You will have to use algebra to do this. A
grid is provided if you would like to use it as an aid. 
3) A land to air missile is fired from a testing station in Newfoundland. It eventually
lands in the water where it falls apart immediately upon impact. The missile follows the
quadratic path described by:
ℎ(𝑡) = −5(𝑡 – 25)2 + 3200
Where h is in metres, and t is in seconds.
a) What was the height of the missile at launch
time (t = 0)? 
b) What is the vertex of the relation described
above? 
Vertex Form Assignment MCF3M
c) Draw a sketch of this situation in the space
provided. Label the initial height and the
vertex. 
d) What is the maximum height of missile, and
when does it occur? Please write your answer in
a full sentence. 
4) Create a table of values for the following function: 𝑓(𝑥) = (𝑥 − 2)(𝑥 − 4) and sketch the relation on
the graph provided: 
x
𝑓(𝑥) = (𝑥 − 2)(𝑥 − 4)
0
f(0) = (0 – 2)(0 – 4) = 8
1
2
3
4
5
Note: We will be investigating relations of this form later this week!
Vertex Form Assignment MCF3M