PERIOD
ord Problem Practke
Transformations with Quadratic Functlbns
4. WATER JETS The graph shows the path
of a jet of water.
A parabolic arch is used as a
bridge support. The graph ofthe arch is
shown below.
1. ARCHES
If the equation that corresponds to
this graph is written in the form
y + a(x - h)2 + k, what are h arrd k?
The equation corresponding to this
graph is Y = a(x - h) 2 + ft. What a,e a,
h, arrd k?
2. TRANSLATIONS For a computer
animation, Barbara uses the quadratic
function flx) : -42(x - 20)2 + 16800 to
help her simulate an object tossed on
another planet. For.one skit, she had to
use the function f(x + 5) - 8000 instead
of f(x). Where is the vertex of the graph
5. PROFIT A theater operator predicts that
the theater can make -4x2 + L60x,
dollars per show iftickets are priced at r
dollars.
a. Rewrite the equatiorl/ : -4xz + I60x
in the formy : a(x - h)z + k.
ofv-f(x+5)-8000?
b. What is the vertex of the parabola
and what is its axis of symmetry?
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3. BRIDGES The shape formed by the
main cables of the Golden Gate Bridge
approximately follows the equation
y = 0.000?.x2 - 0.23x + 227. Graph the
parabola formed by one of the cables.
c. Graph the parabola.
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Chapter 5
47
Glencoe Algebra 2