2. Questions:
1. Write the equation of a quadratic function with a vertex at (10,0) and a
range of [0, ∞).
2. A parabola has a vertex on the positive xaxis and curves down.
Find a possible equation for this parabola.
3. Compare the graphs of y = x2 and y = 2(x + 5)2.
List at least 2 characteristics of these functions that are the same, and 2
that are different.
4. Sketch the graph of y = (x 3)2 + 4
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3. Solutions:
1. A possible equation is y = (x + 10)2.
2. A possible equation is y = 3(x 2)2.
3. The graphs of y = x2 and y = 2(x + 5)2 have the same range, y ≥ 0, and the
same domain.
The coordinate of the vertex for y = 2(x + 5)2 is at (5,0) and it is narrower
than y = x2.
y = 2(x + 5)2
y = x2
4. The graph of y = (x 3)2 + 4 has a vertex that is shifted right 3 units and up
4 units. The vertex is at (3,4).
y = (x 3)2 + 4
y = x2 (3,4)
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