Chapter Review - Nelson Education

) The equation of the relation on Mars is
h = -0.5(3.7)t 2 + 100 I used the value of g on Mars, g = 3.7m/s 2 , instead
h = -1.85t 2 + 100, where t Ú 0
of g = 9.8 m/s 2 .
The graph for Mars is wider near the vertex.
100
80
60
40
20
t
0
-10 10
h
h 1.85t 2 100
The t-intercept is farther from the origin, so the
watermelon would take longer to hit the ground
on Mars compared to Earth.
A smaller (negative) a-value means that
the parabola is wider.
c) The equation of the new relation is
h = -4.9t 2 + 50, where t Ú 0.
The new graph has the same shape but is
translated 50 units down.
60
40
20
t
0
-10 10
h
h 4.9t 2 50
d) The new graph for Mars is wider than the
original graph and is translated 50 units down.
h
60
40
20
t
0
-10 10
h 1.85t 2 50
In the relation, k changes from 100 to 50.
The new vertex is half the distance above the
origin, at (0, 50) instead of (0, 100). This is a shift
of 50 units down.
The new graph for Mars is wider than the original
graph, like the graph in part b). It is translated
down, like the graph in part c).
268 5.3 Graphing Quadratics in Vertex Form Draft Evaluation Copy
NEL