Quadratics Models Using Vertex Form Worksheet Page 4
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1
2
3
4
5Kerr
MPM2D
Applying Quadratic Models
2
d)
Is this graph congruent to y = x
?
sketch a simple
____________________
diagram to help
answers this
e)
Does this relation have a maximum or a minimum?
question
____________________
f)
How many zeros does the relation have?
____________________
4.
Write the equation of a parabola with each set of properties.
a)
vertex (4, 4), opens downward, wider than y = 4x
____________________
b)
axis of symmetry x = -1, has a minimum, has two zeros, more
2
narrow than y = 5x
____________________
2
c)
has an optimum value of -8, has no zeros, congruent to y = x
____________________
5.
The table of values defines a parabola. Write the equation of the
parabola in vertex form.
x
-3
-2
-1
0
1
2
y
-27
-15
-11
-15
-27
-47
We must identify the vertex first. Closely examining
the y-values will help us do this. Then, choose an
ordered pair so we can substitute into vertex form
and solve for a.
vertex
____________
a
____________
ordered pair
____________
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